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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 372810.ce
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 372810.ce1 | 372810ce1 | \([1, 0, 0, -25655316086, -1581579528948060]\) | \(77368164395259536135994228481/4890560166146542141440\) | \(118046233459013625050415759360\) | \([]\) | \(2317178880\) | \(4.6369\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.ce1 has rank \(1\).
Complex multiplication
The elliptic curves in class 372810.ce do not have complex multiplication.Modular form 372810.2.a.ce
sage: E.q_eigenform(10)