Properties

Label 221760.ht
Number of curves $1$
Conductor $221760$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ht1")
 
E.isogeny_class()
 

Elliptic curves in class 221760.ht

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
221760.ht1 221760kd1 \([0, 0, 0, 19608, -551374]\) \(17869652393984/13156171875\) \(-613814355000000\) \([]\) \(903168\) \(1.5258\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 221760.ht1 has rank \(1\).

Complex multiplication

The elliptic curves in class 221760.ht do not have complex multiplication.

Modular form 221760.2.a.ht

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} - q^{11} + 4 q^{13} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display