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SageMath
E = EllipticCurve("gp1")
E.isogeny_class()
Elliptic curves in class 187200gp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.cw1 | 187200gp1 | \([0, 0, 0, -16470, 814050]\) | \(-3137785344/2197\) | \(-345948408000\) | \([]\) | \(276480\) | \(1.1506\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200gp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 187200gp do not have complex multiplication.Modular form 187200.2.a.gp
sage: E.q_eigenform(10)