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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 121275bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.eo1 | 121275bu1 | \([1, -1, 0, -2067, 195866]\) | \(-675/11\) | \(-15920336210625\) | \([]\) | \(190080\) | \(1.2145\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121275bu do not have complex multiplication.Modular form 121275.2.a.bu
sage: E.q_eigenform(10)