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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 8640.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8640.bv1 | 8640w1 | \([0, 0, 0, -162, 1566]\) | \(-373248/625\) | \(-787320000\) | \([]\) | \(2304\) | \(0.39779\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8640.bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8640.bv do not have complex multiplication.Modular form 8640.2.a.bv
sage: E.q_eigenform(10)