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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 117117v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117117.g1 | 117117v1 | \([0, 0, 1, 2862015, 1962182992]\) | \(736803680768000/899079608427\) | \(-3163630762794829273947\) | \([]\) | \(8805888\) | \(2.8116\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117117v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 117117v do not have complex multiplication.Modular form 117117.2.a.v
sage: E.q_eigenform(10)