Properties

Label 106560.l
Number of curves $1$
Conductor $106560$
CM no
Rank $1$

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

Elliptic curves in class 106560.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106560.l1 106560dr1 \([0, 0, 0, 12, 22]\) \(110592/185\) \(-319680\) \([]\) \(11520\) \(-0.25872\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106560.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 106560.l do not have complex multiplication.

Modular form 106560.2.a.l

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