Properties

Label 38646y
Number of curves $1$
Conductor $38646$
CM no
Rank $2$

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

Elliptic curves in class 38646y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38646.y1 38646y1 \([1, -1, 1, -1085, 14469]\) \(-193602111625/7420032\) \(-5409203328\) \([]\) \(51072\) \(0.63731\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38646y1 has rank \(2\).

Complex multiplication

The elliptic curves in class 38646y do not have complex multiplication.

Modular form 38646.2.a.y

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