Properties

Label 173400.eh
Number of curves $1$
Conductor $173400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("eh1")
 
E.isogeny_class()
 

Elliptic curves in class 173400.eh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
173400.eh1 173400ct1 \([0, 1, 0, -49753, 4242923]\) \(1472795466752/4782969\) \(44232897312000\) \([]\) \(483840\) \(1.4841\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 173400.eh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 173400.eh do not have complex multiplication.

Modular form 173400.2.a.eh

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{7} + q^{9} + 3 q^{11} - 4 q^{13} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display