Properties

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

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Show commands: SageMath
E = EllipticCurve("do1")
 
E.isogeny_class()
 

Elliptic curves in class 705600.do

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
705600.do1 \([0, 0, 0, -132300, 23814000]\) \(-2646\) \(-96786192384000000\) \([]\) \(6451200\) \(1.9691\)

Rank

sage: E.rank()
 

The elliptic curve 705600.do1 has rank \(1\).

Complex multiplication

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

Modular form 705600.2.a.do

sage: E.q_eigenform(10)
 
\(q - 5 q^{11} + 2 q^{13} - 6 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display