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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 159600bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159600.dm1 | 159600bs1 | \([0, 1, 0, -542088, -153803532]\) | \(-172041783999846385/1179967488\) | \(-120828670771200\) | \([]\) | \(1257984\) | \(1.8828\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159600bs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159600bs do not have complex multiplication.Modular form 159600.2.a.bs
sage: E.q_eigenform(10)