Properties

Label 22800o
Number of curves $1$
Conductor $22800$
CM no
Rank $1$

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

Elliptic curves in class 22800o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22800.p1 22800o1 \([0, -1, 0, -123708, 16255287]\) \(33499672587520/1215051273\) \(7594070456250000\) \([]\) \(126720\) \(1.8170\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22800o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 22800o do not have complex multiplication.

Modular form 22800.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display