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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 40656.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40656.u1 | 40656s1 | \([0, -1, 0, -6816, 614187]\) | \(-1235663104/4991679\) | \(-141489021454704\) | \([]\) | \(115200\) | \(1.4006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40656.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40656.u do not have complex multiplication.Modular form 40656.2.a.u
sage: E.q_eigenform(10)