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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 11760cj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 11760.ca1 | 11760cj1 | \([0, 1, 0, -243301, 76040915]\) | \(-1376628736/1366875\) | \(-1581499826081280000\) | \([]\) | \(188160\) | \(2.1879\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11760cj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11760cj do not have complex multiplication.Modular form 11760.2.a.cj
sage: E.q_eigenform(10)