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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 57498.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57498.l1 | 57498h1 | \([1, 0, 1, 51993, 17876458]\) | \(6058428767/57286656\) | \(-146981886182498304\) | \([]\) | \(853632\) | \(1.9753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57498.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57498.l do not have complex multiplication.Modular form 57498.2.a.l
sage: E.q_eigenform(10)