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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 96330i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96330.e1 | 96330i1 | \([1, 1, 0, -1238, 20142]\) | \(-1243217046721/371414850\) | \(-62769109650\) | \([]\) | \(122880\) | \(0.78611\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96330i1 has rank \(2\).
Complex multiplication
The elliptic curves in class 96330i do not have complex multiplication.Modular form 96330.2.a.i
sage: E.q_eigenform(10)