Properties

Label 95370y
Number of curves $1$
Conductor $95370$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 95370y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
95370.z1 95370y1 \([1, 0, 1, -1226089, 535825772]\) \(-8444922396903721/253364474880\) \(-6115602494564766720\) \([]\) \(2903040\) \(2.3828\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 95370y1 has rank \(2\).

Complex multiplication

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

Modular form 95370.2.a.y

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