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Properties

Label 423621.h
Number of curves $1$
Conductor $423621$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("h1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 423621.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 423621.h do not have complex multiplication.

Modular form 423621.2.a.h

Copy content sage:E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + 3 q^{5} + 5 q^{7} - 6 q^{10} + 3 q^{13} - 10 q^{14} - 4 q^{16} - 6 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 423621.h

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
423621.h1 423621h1 \([0, 0, 1, -2541, 35604]\) \(1404928/389\) \(502381039941\) \([]\) \(1228800\) \(0.95261\) \(\Gamma_0(N)\)-optimal