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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 51520.bu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 51520.bu1 | 51520g1 | \([0, 1, 0, -8286181, -9183545981]\) | \(-3840316976122235063296/27784071875\) | \(-455214233600000\) | \([]\) | \(1152000\) | \(2.4091\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51520.bu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51520.bu do not have complex multiplication.Modular form 51520.2.a.bu
sage: E.q_eigenform(10)