Properties

Label 79350.s
Number of curves $1$
Conductor $79350$
CM no
Rank $1$

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

Elliptic curves in class 79350.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79350.s1 79350s1 \([1, 1, 0, -391923150, 3082973685300]\) \(-257139080970025/9795520512\) \(-253621400208685496167680000\) \([]\) \(38763648\) \(3.8364\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79350.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 79350.s do not have complex multiplication.

Modular form 79350.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + 2 q^{7} - q^{8} + q^{9} - 3 q^{11} - q^{12} + 4 q^{13} - 2 q^{14} + q^{16} - 3 q^{17} - q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display