Properties

Label 103488gz
Number of curves $1$
Conductor $103488$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gz1")
 
E.isogeny_class()
 

Elliptic curves in class 103488gz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103488.eu1 103488gz1 \([0, 1, 0, -15270817, -23816882209]\) \(-260607143968297/11270993184\) \(-17032814992586541367296\) \([]\) \(11289600\) \(3.0315\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103488gz1 has rank \(1\).

Complex multiplication

The elliptic curves in class 103488gz do not have complex multiplication.

Modular form 103488.2.a.gz

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{5} + q^{9} - q^{11} - 6 q^{13} - 3 q^{15} - 5 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display