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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 32487i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32487.a1 | 32487i1 | \([0, -1, 1, -702, 104852]\) | \(-325660672/40000779\) | \(-4706051648571\) | \([]\) | \(105984\) | \(1.1111\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32487i1 has rank \(2\).
Complex multiplication
The elliptic curves in class 32487i do not have complex multiplication.Modular form 32487.2.a.i
sage: E.q_eigenform(10)