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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 190575.cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.cn1 | 190575ce1 | \([0, 0, 1, 8250, 94531]\) | \(32768/21\) | \(-39797419921875\) | \([]\) | \(399360\) | \(1.2985\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.cn1 has rank \(2\).
Complex multiplication
The elliptic curves in class 190575.cn do not have complex multiplication.Modular form 190575.2.a.cn
sage: E.q_eigenform(10)