Properties

Label 414736.o
Number of curves $1$
Conductor $414736$
CM no
Rank $0$

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

Elliptic curves in class 414736.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
414736.o1 414736o1 \([0, -1, 0, 14507120, -9781132864]\) \(8947391/6272\) \(-236688373846583059939328\) \([]\) \(53415936\) \(3.1736\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 414736.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 414736.o do not have complex multiplication.

Modular form 414736.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} - 2 q^{9} - 2 q^{13} + 4 q^{15} + 5 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display