Properties

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

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Show commands: SageMath
E = EllipticCurve("lh1")
 
E.isogeny_class()
 

Elliptic curves in class 705600.lh

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
705600.lh1 \([0, 0, 0, -49980, 4623640]\) \(-6288640/567\) \(-1244912399539200\) \([]\) \(2359296\) \(1.6397\)

Rank

sage: E.rank()
 

The elliptic curve 705600.lh1 has rank \(1\).

Complex multiplication

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

Modular form 705600.2.a.lh

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