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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 374790.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
374790.q1 | 374790q1 | \([1, 1, 0, 174402, 209589012]\) | \(22188041/730080\) | \(-19303039347062683680\) | \([]\) | \(11427840\) | \(2.3805\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 374790.q do not have complex multiplication.Modular form 374790.2.a.q
sage: E.q_eigenform(10)