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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 37830m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37830.l1 | 37830m1 | \([1, 0, 1, -263, -3382]\) | \(-2000852317801/3718840320\) | \(-3718840320\) | \([]\) | \(23552\) | \(0.52634\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37830m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37830m do not have complex multiplication.Modular form 37830.2.a.m
sage: E.q_eigenform(10)