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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 241200.bu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 241200.bu1 | 241200bu1 | \([0, 0, 0, -906300, -338674500]\) | \(-28232681739264/654296875\) | \(-1907929687500000000\) | \([]\) | \(3440640\) | \(2.2949\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 241200.bu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 241200.bu do not have complex multiplication.Modular form 241200.2.a.bu
sage: E.q_eigenform(10)