Properties

Label 22736.c
Number of curves $1$
Conductor $22736$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 22736.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22736.c1 22736bf1 \([0, 0, 0, -931, 15778]\) \(-185193/116\) \(-55899275264\) \([]\) \(34560\) \(0.76387\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22736.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 22736.c do not have complex multiplication.

Modular form 22736.2.a.c

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 3 q^{5} + 6 q^{9} + q^{11} - 3 q^{13} - 9 q^{15} + 4 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display