Properties

Label 44400.u
Number of curves $1$
Conductor $44400$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 44400.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44400.u1 44400g1 \([0, -1, 0, -4488, 117792]\) \(-390606131140/2184813\) \(-55931212800\) \([]\) \(34560\) \(0.90498\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44400.u1 has rank \(2\).

Complex multiplication

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

Modular form 44400.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 2 q^{11} - 6 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display