Properties

Label 160048.a
Number of curves $1$
Conductor $160048$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 160048.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
160048.a1 160048a1 \([0, 1, 0, 832, -11660]\) \(15531437375/24017203\) \(-98374463488\) \([]\) \(125440\) \(0.79463\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 160048.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 160048.a do not have complex multiplication.

Modular form 160048.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{7} + q^{9} - 6 q^{11} - 2 q^{13} - 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display