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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 348726i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.i1 | 348726i1 | \([1, 1, 0, 3283649, -1535555387]\) | \(83228502970940543/69854999176704\) | \(-3286389978522314356224\) | \([]\) | \(28512000\) | \(2.8163\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348726i do not have complex multiplication.Modular form 348726.2.a.i
sage: E.q_eigenform(10)