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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 3920.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3920.q1 | 3920l1 | \([0, -1, 0, 40, -608]\) | \(137564/3125\) | \(-156800000\) | \([]\) | \(960\) | \(0.25279\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3920.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3920.q do not have complex multiplication.Modular form 3920.2.a.q
sage: E.q_eigenform(10)