Properties

Label 79350.cn
Number of curves $1$
Conductor $79350$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cn1")
 
E.isogeny_class()
 

Elliptic curves in class 79350.cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79350.cn1 79350ca1 \([1, 1, 1, -205033, -35819689]\) \(-72077458139346985/181398528\) \(-2398995532800\) \([]\) \(443520\) \(1.6137\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79350.cn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 79350.cn do not have complex multiplication.

Modular form 79350.2.a.cn

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + q^{8} + q^{9} + 2 q^{11} - q^{12} - 7 q^{13} + q^{16} - 4 q^{17} + q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display