Properties

Label 424830.o
Number of curves $1$
Conductor $424830$
CM no
Rank $1$

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

Elliptic curves in class 424830.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
424830.o1 424830o1 \([1, 1, 0, -687103, -519559067]\) \(-43713001/116640\) \(-95725385080233017760\) \([]\) \(13880160\) \(2.5215\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 424830.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 424830.o do not have complex multiplication.

Modular form 424830.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} + q^{11} - q^{12} - 3 q^{13} + q^{15} + q^{16} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display