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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 190575q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 190575.f1 | 190575q1 | \([0, 0, 1, -8085825, 14811659156]\) | \(-80621568/84035\) | \(-60940454558095630546875\) | \([]\) | \(21288960\) | \(3.0673\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190575q do not have complex multiplication.Modular form 190575.2.a.q
sage: E.q_eigenform(10)