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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 57498s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57498.s1 | 57498s1 | \([1, 0, 0, -865921, 310074107]\) | \(-27986475935881/76146\) | \(-195369803139714\) | \([]\) | \(984960\) | \(1.9759\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57498s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57498s do not have complex multiplication.Modular form 57498.2.a.s
sage: E.q_eigenform(10)