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SageMath
E = EllipticCurve("gj1")
E.isogeny_class()
Elliptic curves in class 360640gj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
360640.gj1 | 360640gj1 | \([0, 1, 0, -406022885, -3149144225725]\) | \(-3840316976122235063296/27784071875\) | \(-53555499368806400000\) | \([]\) | \(55296000\) | \(3.3820\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 360640gj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 360640gj do not have complex multiplication.Modular form 360640.2.a.gj
sage: E.q_eigenform(10)