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SageMath
E = EllipticCurve("gn1")
E.isogeny_class()
Elliptic curves in class 170352.gn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
170352.gn1 | 170352cw1 | \([0, 0, 0, -104403, 9094930]\) | \(249395415529/73513818\) | \(37097373251248128\) | \([]\) | \(1935360\) | \(1.8851\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 170352.gn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 170352.gn do not have complex multiplication.Modular form 170352.2.a.gn
sage: E.q_eigenform(10)