Properties

Label 56644.o
Number of curves $1$
Conductor $56644$
CM no
Rank $0$

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

Elliptic curves in class 56644.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
56644.o1 56644a1 \([0, 1, 0, 165212, -27032300]\) \(14000/17\) \(-605573322866962688\) \([]\) \(580608\) \(2.0982\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 56644.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 56644.o do not have complex multiplication.

Modular form 56644.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} + 5 q^{11} - 5 q^{13} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display