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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 37830s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37830.q1 | 37830s1 | \([1, 1, 1, 19905, 2490165]\) | \(872185564155269519/3165721293355920\) | \(-3165721293355920\) | \([]\) | \(211200\) | \(1.6572\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37830s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37830s do not have complex multiplication.Modular form 37830.2.a.s
sage: E.q_eigenform(10)