Properties

Label 13650.o
Number of curves $1$
Conductor $13650$
CM no
Rank $1$

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

Elliptic curves in class 13650.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13650.o1 13650r1 \([1, 1, 0, 175, -375]\) \(1503815/1092\) \(-426562500\) \([]\) \(5280\) \(0.34428\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13650.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13650.o do not have complex multiplication.

Modular form 13650.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} + q^{9} - 2 q^{11} - q^{12} - q^{13} - q^{14} + q^{16} - q^{17} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display