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SageMath
E = EllipticCurve("jl1")
E.isogeny_class()
Elliptic curves in class 382200jl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 382200.jl1 | 382200jl1 | \([0, 1, 0, 391592, 21850688]\) | \(71997884/43875\) | \(-4046890302000000000\) | \([]\) | \(7547904\) | \(2.2596\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 382200jl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 382200jl do not have complex multiplication.Modular form 382200.2.a.jl
sage: E.q_eigenform(10)