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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 38808cj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 38808.bf1 | 38808cj1 | \([0, 0, 0, -24843, 4257659]\) | \(-1235663104/4991679\) | \(-6849871121714544\) | \([]\) | \(184320\) | \(1.7239\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808cj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38808cj do not have complex multiplication.Modular form 38808.2.a.cj
sage: E.q_eigenform(10)