Properties

Label 40656.o
Number of curves $1$
Conductor $40656$
CM no
Rank $1$

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

Elliptic curves in class 40656.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40656.o1 40656bh1 \([0, -1, 0, -58021, 612889]\) \(697367157735424/398655683181\) \(12348758442214656\) \([]\) \(262656\) \(1.7774\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40656.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 40656.o do not have complex multiplication.

Modular form 40656.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} - 4 q^{13} + q^{15} + 5 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display