Properties

Label 254320s
Number of curves $1$
Conductor $254320$
CM no
Rank $0$

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

Elliptic curves in class 254320s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254320.s1 254320s1 \([0, -1, 0, 4762335, 16170466237]\) \(6688860068864/67138671875\) \(-119895831017187500000000\) \([]\) \(20563200\) \(3.1095\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254320s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 254320s do not have complex multiplication.

Modular form 254320.2.a.s

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