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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 333795.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333795.bv1 | 333795bv1 | \([1, 0, 1, 8026, -19039]\) | \(197879642800199/115094251965\) | \(-33262238817885\) | \([]\) | \(1071360\) | \(1.2841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333795.bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333795.bv do not have complex multiplication.Modular form 333795.2.a.bv
sage: E.q_eigenform(10)