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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 402930s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
402930.s1 | 402930s1 | \([1, -1, 0, -61656480, 78450488320]\) | \(20071334919501405721/9557472612188160\) | \(12343169743235767641047040\) | \([]\) | \(79994880\) | \(3.5086\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 402930s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 402930s do not have complex multiplication.Modular form 402930.2.a.s
sage: E.q_eigenform(10)