Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 122694.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
122694.v1 122694s1 \([1, 1, 0, 30248, 3089728]\) \(43307231/82944\) \(-5861595295835136\) \([]\) \(1077120\) \(1.7102\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 122694.v1 has rank \(0\).

Complex multiplication

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

Modular form 122694.2.a.v

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