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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 32340q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32340.g1 | 32340q1 | \([0, -1, 0, -240900, 67815000]\) | \(-21380386384/15035625\) | \(-1087281130430880000\) | \([]\) | \(564480\) | \(2.1609\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32340q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32340q do not have complex multiplication.Modular form 32340.2.a.q
sage: E.q_eigenform(10)