Properties

Label 44400.j
Number of curves $1$
Conductor $44400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 44400.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44400.j1 44400bh1 \([0, -1, 0, 2292, -393588]\) \(532400/26973\) \(-67432500000000\) \([]\) \(103680\) \(1.3332\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44400.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 44400.j do not have complex multiplication.

Modular form 44400.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{7} + q^{9} - 6 q^{13} + 6 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display