Properties

Label 1120p
Number of curves $1$
Conductor $1120$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 1120p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1120.p1 1120p1 \([0, 0, 0, 8, -16]\) \(13824/35\) \(-143360\) \([]\) \(192\) \(-0.32678\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1120p1 has rank \(0\).

Complex multiplication

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

Modular form 1120.2.a.p

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