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SageMath
E = EllipticCurve("gs1")
E.isogeny_class()
Elliptic curves in class 73920gs
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 73920.fo1 | 73920gs1 | \([0, 1, 0, 2179, -19695]\) | \(17869652393984/13156171875\) | \(-841995000000\) | \([]\) | \(112896\) | \(0.97653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 73920gs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 73920gs do not have complex multiplication.Modular form 73920.2.a.gs
sage: E.q_eigenform(10)