Properties

Label 146523.c
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 146523.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
146523.c1 146523h1 \([0, -1, 1, -1252, -16872]\) \(-15388672/243\) \(-3429956907\) \([]\) \(130680\) \(0.63097\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 146523.2.a.c

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