Properties

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

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Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 79350.ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79350.ci1 79350cf1 \([1, 1, 1, -3643763, 8635212281]\) \(-13225/72\) \(-29128015697096953125000\) \([]\) \(5564160\) \(2.9946\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79350.ci1 has rank \(1\).

Complex multiplication

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

Modular form 79350.2.a.ci

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + q^{8} + q^{9} - 5 q^{11} - q^{12} + q^{16} + 3 q^{17} + q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display