Properties

Label 122694p
Number of curves $1$
Conductor $122694$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 122694p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
122694.q1 122694p1 \([1, 1, 0, -71997, 285388173]\) \(-169/144\) \(-35168360785704905616\) \([]\) \(3494400\) \(2.4296\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 122694p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 122694p do not have complex multiplication.

Modular form 122694.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - 2 q^{7} - q^{8} + q^{9} - q^{10} - q^{12} + 2 q^{14} - q^{15} + q^{16} - 5 q^{17} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display