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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 169338g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169338.o1 | 169338g1 | \([1, 1, 1, 95228, 3636485]\) | \(19785968032823/12608077824\) | \(-60856783513583616\) | \([]\) | \(2543616\) | \(1.9096\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169338g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 169338g do not have complex multiplication.Modular form 169338.2.a.g
sage: E.q_eigenform(10)