Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 96330.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96330.m1 | 96330f1 | \([1, 1, 0, -1693, -573347]\) | \(-658489/173280\) | \(-141349819334880\) | \([]\) | \(312000\) | \(1.3944\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96330.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96330.m do not have complex multiplication.Modular form 96330.2.a.m
sage: E.q_eigenform(10)