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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 650.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
650.m1 | 650m1 | \([1, -1, 1, -555, 5197]\) | \(-48317985/338\) | \(-132031250\) | \([]\) | \(600\) | \(0.39164\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 650.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 650.m do not have complex multiplication.Modular form 650.2.a.m
sage: E.q_eigenform(10)