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SageMath
E = EllipticCurve("jl1")
E.isogeny_class()
Elliptic curves in class 176400jl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.cf1 | 176400jl1 | \([0, 0, 0, 284445, 167531490]\) | \(10733445/57344\) | \(-13597763169366835200\) | \([]\) | \(4313088\) | \(2.3535\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400jl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400jl do not have complex multiplication.Modular form 176400.2.a.jl
sage: E.q_eigenform(10)