Jaimee Marie Cooney (37) is understood to be the first female teacher in New Zealand convicted and sentenced for sexual offending against students.
And it was confirmed in court that Cooney - the wife of a police officer and mother of two - did not dispute having sexual relationships with other older boys.
But she has not been charged with any further offences to date.
In December the 37-year-old was sentenced in the Blenheim District Court to two years and six months in jail for her offending.
She was also placed on the child sex offender's register.
She had earlier pleaded guilty to a raft of charges relating to two teenage boys who she sexually abused, often in cars parked in public places, and in school lunch breaks.
Judge Tony Zohrab said the offending was "a gross breach of trust".
He said no one should have been more attuned to the needs of young men growing up than a trained teacher.
"It's difficult enough without these sorts of things occurring," he said.
"Your role was a pastoral one ... you have seriously compromised your obligations."
He refused an application for permanent name suppression.
Last week Cooney filed an appeal against that refusal which was set to be heard in the High Court at Blenheim this Friday.
However, this evening her lawyer Miriam Radich notified the Herald that Cooney was abandoning that appeal.
At sentencing, Judge Zohrab said the community had a right to know the sex offender's identity.
The Crown and the New Zealand Herald both opposed the order.
'Significant breach of trust'
In October Cooney pleaded guilty to seven charges of unlawful sexual connection with minors, and one of exposing a minor to indecent material over a year-long period.
Some of the charges were representative, meaning the acts happened numerous times.
She was a teacher at Marlborough Boys' College at the time but has since had her teaching registration cancelled.
Cooney admitted having sex with two 15-year-old boys in parked cars in public places, often telling one victim she loved him and showing them explicit videos.
The police summary of facts, supplied to the Herald by the court, revealed the woman had formed sexual relationships "with a number of students".
The prosecution relates to two of those boys.
At sentencing O'Donoghue said there were a number of aggravating factors, including the vulnerability of victims, age discrepancy between Cooney and her victims, and duration of offending.
"She's gone out of her way to target them in a sexually exploitative way," he said.
"There was a significant breach of trust, (she) attempted to manipulate, coerce and control the victims with threats of self harm.
"This was sexually exploitative conduct by an adult ... she emotionally manipulated both boys."
SEXUAL HARM - DO YOU NEED HELP?
If it's an emergency and you feel that you or someone else is at risk, call 111.
If you've ever experienced sexual assault or abuse and need to talk to someone contact the Safe to Talk confidential crisis helpline on:
• Text 4334 and they will respond
• Email support@safetotalk.nz
• Visit https://safetotalk.nz/contact-us/ for an online chat
Alternatively contact your local police station - click here for a list.
If you have been abused, remember it's not your fault.
