Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 1960.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1960.m1 | 1960n1 | \([0, -1, 0, -240, -1588]\) | \(-15298178/3125\) | \(-313600000\) | \([]\) | \(720\) | \(0.35259\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1960.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1960.m do not have complex multiplication.Modular form 1960.2.a.m
sage: E.q_eigenform(10)