Properties

Label 106560.s
Number of curves $1$
Conductor $106560$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 106560.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106560.s1 106560j1 \([0, 0, 0, 6612, 75312]\) \(4516672077/2960000\) \(-20950548480000\) \([]\) \(172032\) \(1.2449\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106560.s1 has rank \(2\).

Complex multiplication

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

Modular form 106560.2.a.s

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