Properties

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

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Show commands: SageMath
E = EllipticCurve("fq1")
 
E.isogeny_class()
 

Elliptic curves in class 103488fq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103488.ee1 103488fq1 \([0, -1, 0, -311649, 69526017]\) \(-260607143968297/11270993184\) \(-144776538624098304\) \([]\) \(1612800\) \(2.0585\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103488fq1 has rank \(1\).

Complex multiplication

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

Modular form 103488.2.a.fq

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