Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 106575.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106575.m1 106575co1 \([0, 1, 1, 2042, -64256]\) \(1003520/2523\) \(-2366298046875\) \([]\) \(316080\) \(1.0582\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106575.m1 has rank \(0\).

Complex multiplication

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

Modular form 106575.2.a.m

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