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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 57960.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57960.m1 | 57960bm1 | \([0, 0, 0, 1437, 5987]\) | \(28134973184/17609375\) | \(-205395750000\) | \([]\) | \(57600\) | \(0.85975\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57960.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 57960.m do not have complex multiplication.Modular form 57960.2.a.m
sage: E.q_eigenform(10)