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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 185130ce
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 185130.dk1 | 185130ce1 | \([1, -1, 1, -1112618, 804039481]\) | \(-4368317413923/5475734000\) | \(-190936846829634642000\) | \([]\) | \(6912000\) | \(2.5849\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185130ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185130ce do not have complex multiplication.Modular form 185130.2.a.ce
sage: E.q_eigenform(10)