Properties

Label 103488.s
Number of curves $1$
Conductor $103488$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 103488.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103488.s1 103488bd1 \([0, -1, 0, -6799, 218065]\) \(-11085279718912/29403\) \(-92207808\) \([]\) \(103680\) \(0.76349\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103488.s1 has rank \(2\).

Complex multiplication

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

Modular form 103488.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} + q^{9} - q^{11} - 5 q^{13} + 2 q^{15} + 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display