Properties

Label 146523c
Number of curves $1$
Conductor $146523$
CM no
Rank $0$

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

Elliptic curves in class 146523c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
146523.g1 146523c1 \([0, 1, 1, -211644, 149344472]\) \(-53248/459\) \(-9037598262672777291\) \([]\) \(5660928\) \(2.3200\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 146523c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 146523c do not have complex multiplication.

Modular form 146523.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + q^{3} + 2 q^{4} - 2 q^{5} - 2 q^{6} + 4 q^{7} + q^{9} + 4 q^{10} - 3 q^{11} + 2 q^{12} - 8 q^{14} - 2 q^{15} - 4 q^{16} - 2 q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display