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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 13650.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13650.m1 | 13650m1 | \([1, 1, 0, 280, -10560]\) | \(96567729935/2025598848\) | \(-50639971200\) | \([]\) | \(16128\) | \(0.73432\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13650.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13650.m do not have complex multiplication.Modular form 13650.2.a.m
sage: E.q_eigenform(10)