Properties

Label 38646.o
Number of curves $1$
Conductor $38646$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 38646.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38646.o1 38646bh1 \([1, -1, 1, 16108, -227465]\) \(634083310913031/396531181952\) \(-289071231643008\) \([]\) \(423360\) \(1.4639\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38646.o1 has rank \(1\).

Complex multiplication

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

Modular form 38646.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 4 q^{5} - 5 q^{7} + q^{8} - 4 q^{10} - 6 q^{11} + q^{13} - 5 q^{14} + q^{16} - 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display