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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 118354i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118354.h1 | 118354i1 | \([1, -1, 0, 262, -248]\) | \(570152223/334084\) | \(-1162946404\) | \([]\) | \(74880\) | \(0.42892\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118354i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 118354i do not have complex multiplication.Modular form 118354.2.a.i
sage: E.q_eigenform(10)