Properties

Label 121680.j
Number of curves $1$
Conductor $121680$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 121680.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121680.j1 121680cn1 \([0, 0, 0, 117, 442]\) \(9477/10\) \(-186900480\) \([]\) \(50688\) \(0.27388\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121680.j1 has rank \(2\).

Complex multiplication

The elliptic curves in class 121680.j do not have complex multiplication.

Modular form 121680.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{5} - 4 q^{7} + 5 q^{11} - 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display