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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 32487q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32487.h1 | 32487q1 | \([0, 1, 1, -44361, -3735826]\) | \(-239251750912/9771957\) | \(-394333712398899\) | \([]\) | \(146944\) | \(1.5683\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32487q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32487q do not have complex multiplication.Modular form 32487.2.a.q
sage: E.q_eigenform(10)