Properties

Label 44100dh
Number of curves $1$
Conductor $44100$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dh1")
 
E.isogeny_class()
 

Elliptic curves in class 44100dh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44100.r1 44100dh1 \([0, 0, 0, -17640, 926100]\) \(-221184/7\) \(-19211611104000\) \([]\) \(96768\) \(1.3251\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44100dh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 44100dh do not have complex multiplication.

Modular form 44100.2.a.dh

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