Properties

Label 1120.l
Number of curves $1$
Conductor $1120$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 1120.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1120.l1 1120b1 \([0, 1, 0, -61, -245]\) \(-6229504/1715\) \(-7024640\) \([]\) \(192\) \(0.029607\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1120.l1 has rank \(1\).

Complex multiplication

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

Modular form 1120.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - q^{7} - 2 q^{9} - q^{11} + 3 q^{13} - q^{15} - 7 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display