Properties

Label 1120n
Number of curves $1$
Conductor $1120$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 1120n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1120.b1 1120n1 \([0, 0, 0, 8, 16]\) \(13824/35\) \(-143360\) \([]\) \(192\) \(-0.32678\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1120n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1120n do not have complex multiplication.

Modular form 1120.2.a.n

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} - q^{7} + 6 q^{9} - 3 q^{11} + q^{13} - 3 q^{15} - q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display