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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 372810.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.bv1 | 372810bv1 | \([1, 1, 1, -5701, -173227]\) | \(-70906125259441/2600156250\) | \(-751445156250\) | \([]\) | \(729792\) | \(1.0500\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.bv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.bv do not have complex multiplication.Modular form 372810.2.a.bv
sage: E.q_eigenform(10)