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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 86640.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86640.v1 | 86640cd1 | \([0, -1, 0, -677842961, 6793400894640]\) | \(-351119534556135424/29056536675\) | \(-2850360825226396181626800\) | \([]\) | \(21833280\) | \(3.7367\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86640.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86640.v do not have complex multiplication.Modular form 86640.2.a.v
sage: E.q_eigenform(10)