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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 465690.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
465690.v1 | 465690v1 | \([1, 0, 1, -27820219889, -1019996324705788]\) | \(140209221970077211227558889/54675919559221081920000\) | \(928591926658676177644545318720000\) | \([]\) | \(2451565440\) | \(5.0247\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 465690.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 465690.v do not have complex multiplication.Modular form 465690.2.a.v
sage: E.q_eigenform(10)