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SageMath
E = EllipticCurve("px1")
E.isogeny_class()
Elliptic curves in class 100800px
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100800.pq1 | 100800px1 | \([0, 0, 0, -11100, -450200]\) | \(-324179200/63\) | \(-29393280000\) | \([]\) | \(172032\) | \(1.0086\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800px1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100800px do not have complex multiplication.Modular form 100800.2.a.px
sage: E.q_eigenform(10)