Properties

Label 338100h
Number of curves $1$
Conductor $338100$
CM no
Rank $0$

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

Elliptic curves in class 338100h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338100.h1 338100h1 \([0, -1, 0, -2095158, 1167973437]\) \(705748443904/345\) \(497214086250000\) \([]\) \(7257600\) \(2.1550\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338100h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 338100h do not have complex multiplication.

Modular form 338100.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 5 q^{11} + 4 q^{13} - 6 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display