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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 219328.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
219328.i1 | 219328e1 | \([0, 1, 0, -97, -1193]\) | \(-99588352/510623\) | \(-522877952\) | \([]\) | \(67584\) | \(0.35721\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 219328.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 219328.i do not have complex multiplication.Modular form 219328.2.a.i
sage: E.q_eigenform(10)