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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 63426.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63426.m1 | 63426k1 | \([1, 0, 1, -120564, 16104178]\) | \(-201673154403670009/20120120064\) | \(-19335435381504\) | \([]\) | \(345600\) | \(1.5838\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63426.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63426.m do not have complex multiplication.Modular form 63426.2.a.m
sage: E.q_eigenform(10)