Properties

Label 22743.b
Number of curves $1$
Conductor $22743$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 22743.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22743.b1 22743f1 \([1, -1, 1, -34724, -3400028]\) \(-13851/7\) \(-2340012299352021\) \([]\) \(114912\) \(1.6539\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22743.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 22743.b do not have complex multiplication.

Modular form 22743.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - 3 q^{5} + q^{7} + 3 q^{8} + 3 q^{10} + q^{11} + 6 q^{13} - q^{14} - q^{16} - q^{17} + O(q^{20})\) Copy content Toggle raw display