Properties

Label 20230s
Number of curves $1$
Conductor $20230$
CM no
Rank $0$

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

Elliptic curves in class 20230s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20230.s1 20230s1 \([1, -1, 1, 3558, -28679]\) \(206425071/133280\) \(-3217055196320\) \([]\) \(69120\) \(1.0889\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20230s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 20230s do not have complex multiplication.

Modular form 20230.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{2} + 3 q^{3} + q^{4} + q^{5} + 3 q^{6} + q^{7} + q^{8} + 6 q^{9} + q^{10} - 2 q^{11} + 3 q^{12} - q^{13} + q^{14} + 3 q^{15} + q^{16} + 6 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display