Properties

Label 103488.o
Number of curves $1$
Conductor $103488$
CM no
Rank $0$

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

Elliptic curves in class 103488.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103488.o1 103488gr1 \([0, -1, 0, -4445737, 3969661921]\) \(-235165059164416/28529701497\) \(-1178906994726143671296\) \([]\) \(4730880\) \(2.7783\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103488.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 103488.o do not have complex multiplication.

Modular form 103488.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} + q^{11} + q^{13} + 3 q^{15} + 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display