Properties

Label 13328.s
Number of curves $1$
Conductor $13328$
CM no
Rank $0$

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

Elliptic curves in class 13328.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13328.s1 13328g1 \([0, 1, 0, 572, 5704]\) \(14000/17\) \(-25088413952\) \([]\) \(8064\) \(0.68163\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13328.s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13328.s do not have complex multiplication.

Modular form 13328.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} + 5 q^{11} - 5 q^{13} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display