Properties

Label 79350u
Number of curves $1$
Conductor $79350$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 79350u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79350.g1 79350u1 \([1, 1, 0, -740875, -253710275]\) \(-257139080970025/9795520512\) \(-1713242659749120000\) \([]\) \(1685376\) \(2.2686\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79350u1 has rank \(1\).

Complex multiplication

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

Modular form 79350.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - 2 q^{7} - q^{8} + q^{9} + 3 q^{11} - q^{12} + 4 q^{13} + 2 q^{14} + q^{16} + 3 q^{17} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display