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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 40310.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40310.q1 | 40310ba1 | \([1, 0, 0, -220, -240]\) | \(1177918188481/660439040\) | \(660439040\) | \([]\) | \(20880\) | \(0.38255\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40310.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40310.q do not have complex multiplication.Modular form 40310.2.a.q
sage: E.q_eigenform(10)