Properties

Label 71148o
Number of curves $1$
Conductor $71148$
CM no
Rank $0$

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

Elliptic curves in class 71148o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
71148.t1 71148o1 \([0, -1, 0, -11293, -477959]\) \(-7168000/363\) \(-8066753409792\) \([]\) \(120960\) \(1.2372\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71148o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 71148o do not have complex multiplication.

Modular form 71148.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + 3 q^{13} - 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display