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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 118354.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118354.i1 | 118354a1 | \([1, 0, 1, -3259, -71870]\) | \(-18630700451/1156\) | \(-237418124\) | \([]\) | \(72960\) | \(0.66656\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118354.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 118354.i do not have complex multiplication.Modular form 118354.2.a.i
sage: E.q_eigenform(10)