Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 6768t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6768.t1 | 6768t1 | \([0, 0, 0, -1776, 10928]\) | \(207474688/102789\) | \(306926309376\) | \([]\) | \(8960\) | \(0.89719\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6768t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6768t do not have complex multiplication.Modular form 6768.2.a.t
sage: E.q_eigenform(10)