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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 331240p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 331240.p1 | 331240p1 | \([0, 1, 0, -1990200, 1256348848]\) | \(-15298178/3125\) | \(-178083797440057600000\) | \([]\) | \(11309760\) | \(2.6080\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331240p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331240p do not have complex multiplication.Modular form 331240.2.a.p
sage: E.q_eigenform(10)