Properties

Label 450840o
Number of curves $1$
Conductor $450840$
CM no
Rank $1$

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

Elliptic curves in class 450840o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450840.o1 450840o1 \([0, -1, 0, 48748424, 7605648076]\) \(3103032160078/1801814625\) \(-7439252057579115042048000\) \([]\) \(141709824\) \(3.4618\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450840o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 450840o do not have complex multiplication.

Modular form 450840.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 4q^{7} + q^{9} - 4q^{11} - q^{13} + q^{15} + 8q^{19} + O(q^{20})\)  Toggle raw display