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SageMath
E = EllipticCurve("gj1")
E.isogeny_class()
Elliptic curves in class 119952.gj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119952.gj1 | 119952gv1 | \([0, 0, 0, 6909, 729218]\) | \(103823/714\) | \(-250826794573824\) | \([]\) | \(368640\) | \(1.4447\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952.gj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 119952.gj do not have complex multiplication.Modular form 119952.2.a.gj
sage: E.q_eigenform(10)