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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 137280.bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
137280.bs1 | 137280ds1 | \([0, -1, 0, -1781, -46419]\) | \(-38153936896/36196875\) | \(-593049600000\) | \([]\) | \(215040\) | \(0.95536\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 137280.bs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 137280.bs do not have complex multiplication.Modular form 137280.2.a.bs
sage: E.q_eigenform(10)