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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 41280.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41280.i1 | 41280cc1 | \([0, -1, 0, 159, 801]\) | \(13481272/17415\) | \(-570654720\) | \([]\) | \(11264\) | \(0.36612\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41280.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 41280.i do not have complex multiplication.Modular form 41280.2.a.i
sage: E.q_eigenform(10)