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SageMath
E = EllipticCurve("cv1")
E.isogeny_class()
Elliptic curves in class 141570.cv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141570.cv1 | 141570bi1 | \([1, -1, 1, -3985763, -4420613469]\) | \(-4073768343611/2555904000\) | \(-4393455504773677056000\) | \([]\) | \(8667648\) | \(2.8545\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570.cv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141570.cv do not have complex multiplication.Modular form 141570.2.a.cv
sage: E.q_eigenform(10)