Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 122694.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
122694.y1 122694i1 \([1, 1, 0, -1453091, 669703533]\) \(851494303283/5668704\) \(2258939768811856416\) \([]\) \(4181760\) \(2.3569\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 122694.y1 has rank \(1\).

Complex multiplication

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

Modular form 122694.2.a.y

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