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SageMath
E = EllipticCurve("gu1")
E.isogeny_class()
Elliptic curves in class 176400.gu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.gu1 | 176400eu1 | \([0, 0, 0, -44421195, 114034544890]\) | \(-1103770289367265/891813888\) | \(-7832311585555297075200\) | \([]\) | \(21012480\) | \(3.1306\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.gu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400.gu do not have complex multiplication.Modular form 176400.2.a.gu
sage: E.q_eigenform(10)