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SageMath
E = EllipticCurve("cv1")
E.isogeny_class()
Elliptic curves in class 190575.cv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.cv1 | 190575cq1 | \([0, 0, 1, -3575550, 8411545656]\) | \(-250523582464/1369738755\) | \(-27640214499694353046875\) | \([]\) | \(9216000\) | \(2.9902\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.cv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190575.cv do not have complex multiplication.Modular form 190575.2.a.cv
sage: E.q_eigenform(10)