Properties

Label 248768.o
Number of curves $1$
Conductor $248768$
CM no
Rank $1$

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

Elliptic curves in class 248768.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
248768.o1 248768o1 \([0, -1, 0, -2929, -62167]\) \(-562432/23\) \(-113681005568\) \([]\) \(225792\) \(0.88893\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 248768.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 248768.o do not have complex multiplication.

Modular form 248768.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} - 4 q^{7} - 2 q^{9} + 2 q^{11} + 2 q^{15} - 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display