Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 44400.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44400.o1 44400d1 \([0, -1, 0, -5008, 140512]\) \(-434163602/8991\) \(-287712000000\) \([]\) \(64000\) \(0.99002\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44400.o1 has rank \(1\).

Complex multiplication

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

Modular form 44400.2.a.o

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