Properties

Label 121104.ct
Number of curves $1$
Conductor $121104$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ct1")
 
E.isogeny_class()
 

Elliptic curves in class 121104.ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121104.ct1 121104cd1 \([0, 0, 0, -143811, 30291138]\) \(-185193/116\) \(-206031418642612224\) \([]\) \(1128960\) \(2.0239\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121104.ct1 has rank \(1\).

Complex multiplication

The elliptic curves in class 121104.ct do not have complex multiplication.

Modular form 121104.2.a.ct

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + 2 q^{7} + q^{11} + 3 q^{13} - 4 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display