Properties

Label 20328.s
Number of curves $1$
Conductor $20328$
CM no
Rank $1$

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

Elliptic curves in class 20328.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20328.s1 20328t1 \([0, 1, 0, -31500, 2321757]\) \(-91625216/9261\) \(-349391257061616\) \([]\) \(76032\) \(1.5306\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20328.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20328.s do not have complex multiplication.

Modular form 20328.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - q^{7} + q^{9} + q^{13} + q^{15} - 8 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display