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SageMath
E = EllipticCurve("gz1")
E.isogeny_class()
Elliptic curves in class 103488gz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103488.eu1 | 103488gz1 | \([0, 1, 0, -15270817, -23816882209]\) | \(-260607143968297/11270993184\) | \(-17032814992586541367296\) | \([]\) | \(11289600\) | \(3.0315\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103488gz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 103488gz do not have complex multiplication.Modular form 103488.2.a.gz
sage: E.q_eigenform(10)