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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 426888v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.v1 | 426888v1 | \([0, 0, 0, -8893802379, 322834052673979]\) | \(-93303976999933696/2910897\) | \(-2427240559188581647234416\) | \([]\) | \(361267200\) | \(4.1830\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888v do not have complex multiplication.Modular form 426888.2.a.v
sage: E.q_eigenform(10)