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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 432450.bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
432450.bs1 | 432450bs1 | \([1, -1, 0, -2248901848917, 1345167835880298741]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-53760079429360910161140989952000000000\) | \([]\) | \(16787865600\) | \(6.0059\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 432450.bs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 432450.bs do not have complex multiplication.Modular form 432450.2.a.bs
sage: E.q_eigenform(10)