Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 121680.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121680.a1 121680el1 \([0, 0, 0, -4368, 150748]\) \(-22478848/10935\) \(-4483491367680\) \([]\) \(322560\) \(1.1331\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121680.a1 has rank \(2\).

Complex multiplication

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

Modular form 121680.2.a.a

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