Properties

Label 106575.q
Number of curves $1$
Conductor $106575$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 106575.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106575.q1 106575bc1 \([1, 1, 1, 11612, -465844]\) \(76895/87\) \(-195913158984375\) \([]\) \(357840\) \(1.4288\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106575.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 106575.q do not have complex multiplication.

Modular form 106575.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + q^{6} + 3 q^{8} + q^{9} - q^{11} + q^{12} + 5 q^{13} - q^{16} - 3 q^{17} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display