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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 40656c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40656.e1 | 40656c1 | \([0, -1, 0, 1256908, 2469488991]\) | \(5820759945472/73222472421\) | \(-2762476156390530078576\) | \([]\) | \(1774080\) | \(2.7950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40656c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40656c do not have complex multiplication.Modular form 40656.2.a.c
sage: E.q_eigenform(10)