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SageMath
E = EllipticCurve("gu1")
E.isogeny_class()
Elliptic curves in class 379050.gu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 379050.gu1 | 379050gu1 | \([1, 1, 1, -656893838, 6479948531531]\) | \(15394828184807958075529/40841010000000\) | \(83163144753281250000000\) | \([]\) | \(135475200\) | \(3.6331\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.gu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.gu do not have complex multiplication.Modular form 379050.2.a.gu
sage: E.q_eigenform(10)