Properties

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

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Show commands: SageMath
E = EllipticCurve("ih1")
 
E.isogeny_class()
 

Elliptic curves in class 705600.ih

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
705600.ih1 \([0, 0, 0, 183750, 49306250]\) \(12800/27\) \(-1447303291875000000\) \([]\) \(8709120\) \(2.1690\)

Rank

sage: E.rank()
 

The elliptic curve 705600.ih1 has rank \(1\).

Complex multiplication

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

Modular form 705600.2.a.ih

sage: E.q_eigenform(10)
 
\(q - 4 q^{11} + 3 q^{13} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display