Properties

Label 122694m
Number of curves $1$
Conductor $122694$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 122694m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
122694.c1 122694m1 \([1, 1, 0, 10295646, 11285457396]\) \(371293/384\) \(-124824235215395278333056\) \([]\) \(17297280\) \(3.1186\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 122694m1 has rank \(1\).

Complex multiplication

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

Modular form 122694.2.a.m

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