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SageMath
E = EllipticCurve("gu1")
E.isogeny_class()
Elliptic curves in class 303450gu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.gu1 | 303450gu1 | \([1, 0, 0, -328888, -213716608]\) | \(-417267265/1850688\) | \(-17449652069325000000\) | \([]\) | \(6220800\) | \(2.3770\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450gu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450gu do not have complex multiplication.Modular form 303450.2.a.gu
sage: E.q_eigenform(10)