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SageMath
E = EllipticCurve("gu1")
E.isogeny_class()
Elliptic curves in class 265200.gu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
265200.gu1 | 265200gu1 | \([0, 1, 0, -42708, -3437037]\) | \(-55136800000/483327\) | \(-75519843750000\) | \([]\) | \(887040\) | \(1.4872\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265200.gu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 265200.gu do not have complex multiplication.Modular form 265200.2.a.gu
sage: E.q_eigenform(10)