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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 230640.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
230640.m1 | 230640m1 | \([0, -1, 0, -246336, -60256800]\) | \(-909513218/338985\) | \(-616141691502151680\) | \([]\) | \(3010560\) | \(2.1236\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230640.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 230640.m do not have complex multiplication.Modular form 230640.2.a.m
sage: E.q_eigenform(10)