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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 237160bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
237160.bs1 | 237160bs1 | \([0, 1, 0, -14681, -690901]\) | \(-2249728/5\) | \(-777786141440\) | \([]\) | \(456960\) | \(1.1644\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 237160bs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 237160bs do not have complex multiplication.Modular form 237160.2.a.bs
sage: E.q_eigenform(10)