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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 185150.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185150.bv1 | 185150k1 | \([1, -1, 1, 3541820, -51730359303]\) | \(84972077055/20040095362\) | \(-1158848958030643288281250\) | \([]\) | \(21288960\) | \(3.2967\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185150.bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185150.bv do not have complex multiplication.Modular form 185150.2.a.bv
sage: E.q_eigenform(10)