Properties

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

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Show commands: SageMath
E = EllipticCurve("cc1")
 
E.isogeny_class()
 

Elliptic curves in class 103488cc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103488.p1 103488cc1 \([0, -1, 0, 4930903, 2103918321]\) \(110056273881297152/79587574568271\) \(-9588120125831695236096\) \([]\) \(6451200\) \(2.9063\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103488cc1 has rank \(1\).

Complex multiplication

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

Modular form 103488.2.a.cc

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} + q^{11} + q^{13} + 3 q^{15} + 4 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display