Properties

Label 152880gd
Number of curves $1$
Conductor $152880$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("gd1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 152880gd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
152880.gq1 152880gd1 \([0, 1, 0, 81520, 852228]\) \(10149078716/5923125\) \(-34965132209280000\) \([]\) \(903168\) \(1.8639\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 152880gd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 152880gd do not have complex multiplication.

Modular form 152880.2.a.gd

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{9} - 3q^{11} - q^{13} + q^{15} + q^{17} - q^{19} + O(q^{20})\)  Toggle raw display