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SageMath
E = EllipticCurve("pu1")
E.isogeny_class()
Elliptic curves in class 487872.pu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 487872.pu1 | 487872pu1 | \([0, 0, 0, 8257524, -21781825648]\) | \(50250332/194481\) | \(-240996918468276522123264\) | \([]\) | \(43253760\) | \(3.1693\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872.pu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 487872.pu do not have complex multiplication.Modular form 487872.2.a.pu
sage: E.q_eigenform(10)