Properties

Label 190575.cn
Number of curves $1$
Conductor $190575$
CM no
Rank $2$

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Show commands: 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)
 
\(q - 2 q^{4} + q^{7} - 6 q^{13} + 4 q^{16} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display