Properties

Label 2576.o
Number of curves $1$
Conductor $2576$
CM no
Rank $0$

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

Elliptic curves in class 2576.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2576.o1 2576g1 \([0, 0, 0, 53, 5]\) \(1029037824/596183\) \(-9538928\) \([]\) \(1344\) \(0.028702\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2576.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2576.o do not have complex multiplication.

Modular form 2576.2.a.o

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 4 q^{5} + q^{7} + 6 q^{9} - 2 q^{11} + 5 q^{13} - 12 q^{15} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display