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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 32110q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32110.b1 | 32110q1 | \([1, -1, 0, -8059, 299365]\) | \(-11993263569/972800\) | \(-4695519795200\) | \([]\) | \(205920\) | \(1.1777\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32110q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32110q do not have complex multiplication.Modular form 32110.2.a.q
sage: E.q_eigenform(10)