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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 112710.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112710.bv1 | 112710bt1 | \([1, 1, 1, -23393111, -43562913811]\) | \(-16950869189311243954609/1791373816627200\) | \(-149617332538520371200\) | \([]\) | \(9214560\) | \(2.9026\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710.bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 112710.bv do not have complex multiplication.Modular form 112710.2.a.bv
sage: E.q_eigenform(10)