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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 91035.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91035.bv1 | 91035bb1 | \([0, 0, 1, -250563, 38691103]\) | \(1183744/245\) | \(360066590589693645\) | \([]\) | \(1586304\) | \(2.0839\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91035.bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 91035.bv do not have complex multiplication.Modular form 91035.2.a.bv
sage: E.q_eigenform(10)