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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 286110i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286110.i1 | 286110i1 | \([1, -1, 0, 47070, -4254764]\) | \(54742641046271/68594841920\) | \(-14451629890547520\) | \([]\) | \(2592000\) | \(1.7868\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286110i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 286110i do not have complex multiplication.Modular form 286110.2.a.i
sage: E.q_eigenform(10)