Properties

Label 299538.s
Number of curves $1$
Conductor $299538$
CM no
Rank $0$

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

Elliptic curves in class 299538.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
299538.s1 299538s1 \([1, -1, 1, -218, 14095]\) \(-27/2\) \(-84506559174\) \([]\) \(332640\) \(0.77638\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 299538.s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 299538.s do not have complex multiplication.

Modular form 299538.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + 2 q^{7} + q^{8} - q^{10} + 6 q^{11} + 2 q^{13} + 2 q^{14} + q^{16} + 7 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display