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SageMath
E = EllipticCurve("cv1")
E.isogeny_class()
Elliptic curves in class 206400cv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206400.v1 | 206400cv1 | \([0, -1, 0, -1988833, -1078894463]\) | \(-3398434606474/387\) | \(-99072000000000\) | \([]\) | \(2396160\) | \(2.1091\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400cv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206400cv do not have complex multiplication.Modular form 206400.2.a.cv
sage: E.q_eigenform(10)