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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 323400.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323400.bv1 | 323400bv1 | \([0, -1, 0, 858072, 9360413532]\) | \(473445630140/256767313473\) | \(-37893439116197475148800\) | \([]\) | \(26732160\) | \(3.0115\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400.bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 323400.bv do not have complex multiplication.Modular form 323400.2.a.bv
sage: E.q_eigenform(10)