Properties

Label 38646p
Number of curves $1$
Conductor $38646$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 38646p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38646.bh1 38646p1 \([1, -1, 1, 52, -431]\) \(804357/4294\) \(-84518802\) \([]\) \(15552\) \(0.20315\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38646p1 has rank \(0\).

Complex multiplication

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

Modular form 38646.2.a.p

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 4 q^{5} + 2 q^{7} + q^{8} + 4 q^{10} - q^{13} + 2 q^{14} + q^{16} + 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display