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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 414736.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
414736.v1 | 414736v1 | \([0, -1, 0, 198728, -81831637]\) | \(256\) | \(-3390460951495367792\) | \([]\) | \(6359040\) | \(2.2384\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 414736.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 414736.v do not have complex multiplication.Modular form 414736.2.a.v
sage: E.q_eigenform(10)