Properties

Label 234416.o
Number of curves $1$
Conductor $234416$
CM no
Rank $0$

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

Elliptic curves in class 234416.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
234416.o1 234416o1 \([0, -1, 0, -261, -127763]\) \(-4096/14651\) \(-7060174843904\) \([]\) \(368640\) \(1.1444\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 234416.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 234416.o do not have complex multiplication.

Modular form 234416.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{9} + 3 q^{11} - q^{13} + q^{15} - 8 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display