Properties

Label 224400ht
Number of curves $1$
Conductor $224400$
CM no
Rank $1$

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

Elliptic curves in class 224400ht

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
224400.r1 224400ht1 \([0, -1, 0, -62083, -6064838]\) \(-169366988800/4377483\) \(-683981718750000\) \([]\) \(990720\) \(1.6299\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400ht1 has rank \(1\).

Complex multiplication

The elliptic curves in class 224400ht do not have complex multiplication.

Modular form 224400.2.a.ht

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} - q^{11} - q^{17} + O(q^{20})\) Copy content Toggle raw display