Properties

Label 142296.s
Number of curves $1$
Conductor $142296$
CM no
Rank $0$

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

Elliptic curves in class 142296.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142296.s1 142296bd1 \([0, -1, 0, -20841, -791811]\) \(274717696/83349\) \(303748379294976\) \([]\) \(552960\) \(1.4840\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142296.s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 142296.s do not have complex multiplication.

Modular form 142296.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + 6 q^{13} + q^{15} - 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display