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SageMath
E = EllipticCurve("ck1")
E.isogeny_class()
Elliptic curves in class 187200.ck
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.ck1 | 187200gm1 | \([0, 0, 0, -411750, -101756250]\) | \(-3137785344/2197\) | \(-5405443875000000\) | \([]\) | \(1382400\) | \(1.9553\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.ck1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200.ck do not have complex multiplication.Modular form 187200.2.a.ck
sage: E.q_eigenform(10)