Properties

Label 106560c
Number of curves $1$
Conductor $106560$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 106560c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106560.r1 106560c1 \([0, 0, 0, -35903628, 84390016752]\) \(-991990479802737267/22190066240000\) \(-114495867794730516480000\) \([]\) \(9953280\) \(3.2130\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106560c1 has rank \(1\).

Complex multiplication

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

Modular form 106560.2.a.c

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