Properties

Label 122304.il
Number of curves $1$
Conductor $122304$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("il1")
 
E.isogeny_class()
 

Elliptic curves in class 122304.il

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
122304.il1 122304hn1 \([0, 1, 0, -315117889, -2165489390401]\) \(-112205650221491190337/745029571313664\) \(-22977441702997198356086784\) \([]\) \(43868160\) \(3.7020\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 122304.il1 has rank \(0\).

Complex multiplication

The elliptic curves in class 122304.il do not have complex multiplication.

Modular form 122304.2.a.il

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{5} + q^{9} + q^{11} - q^{13} + 3 q^{15} - 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display