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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 22050g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22050.x1 | 22050g1 | \([1, -1, 0, 7383, -167959]\) | \(4725/4\) | \(-37674492187500\) | \([]\) | \(60480\) | \(1.2926\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22050g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22050g do not have complex multiplication.Modular form 22050.2.a.g
sage: E.q_eigenform(10)