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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 57150.bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57150.bs1 | 57150bc1 | \([1, -1, 1, 21745, -3843753]\) | \(2695484766213/16646144000\) | \(-7022592000000000\) | \([]\) | \(414720\) | \(1.7225\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57150.bs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 57150.bs do not have complex multiplication.Modular form 57150.2.a.bs
sage: E.q_eigenform(10)