Properties

Label 705600.o
Number of curves $1$
Conductor $705600$
CM no
Rank $0$

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

Elliptic curves in class 705600.o

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
705600.o1 \([0, 0, 0, -411600, 121559200]\) \(-8780800/2187\) \(-1920721987860480000\) \([]\) \(10063872\) \(2.2262\)

Rank

sage: E.rank()
 

The elliptic curve 705600.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 705600.o do not have complex multiplication.

Modular form 705600.2.a.o

sage: E.q_eigenform(10)
 
\(q - 6 q^{11} - 3 q^{13} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display