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SageMath
E = EllipticCurve("es1")
E.isogeny_class()
Elliptic curves in class 179520.es
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179520.es1 | 179520ft1 | \([0, 1, 0, 113119, 2151999]\) | \(610641930681719/360747465210\) | \(-94567783520010240\) | \([]\) | \(1797120\) | \(1.9467\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179520.es1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179520.es do not have complex multiplication.Modular form 179520.2.a.es
sage: E.q_eigenform(10)