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SageMath
E = EllipticCurve("ia1")
E.isogeny_class()
Elliptic curves in class 227850ia
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.q1 | 227850ia1 | \([1, 1, 0, -13258200, -18586296000]\) | \(114454561728745/3428352\) | \(7720221499200000000\) | \([]\) | \(11612160\) | \(2.7229\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850ia1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227850ia do not have complex multiplication.Modular form 227850.2.a.ia
sage: E.q_eigenform(10)