Properties

Label 412224h
Number of curves $1$
Conductor $412224$
CM no
Rank $0$

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

Elliptic curves in class 412224h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412224.h1 412224h1 \([0, -1, 0, -19464929, 33318272385]\) \(-3111302831921821954873/28165508381540352\) \(-7383419029170514034688\) \([]\) \(31104000\) \(3.0191\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 412224h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 412224h do not have complex multiplication.

Modular form 412224.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} + 2 q^{7} + q^{9} + 4 q^{11} + 5 q^{13} + 2 q^{15} + 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display