Properties

Label 95370.s
Number of curves $1$
Conductor $95370$
CM no
Rank $1$

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

Elliptic curves in class 95370.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
95370.s1 95370s1 \([1, 1, 0, 84238, 11197236]\) \(9476510039/13200000\) \(-92079998221200000\) \([]\) \(1199520\) \(1.9408\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 95370.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 95370.s do not have complex multiplication.

Modular form 95370.2.a.s

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