Properties

Label 61347f
Number of curves $1$
Conductor $61347$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 61347f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
61347.l1 61347f1 \([0, -1, 1, -197149, -33630114]\) \(-2830523957248/264627\) \(-79227685494243\) \([]\) \(282240\) \(1.7047\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61347f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 61347f do not have complex multiplication.

Modular form 61347.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - 2 q^{5} - 3 q^{7} + q^{9} + 2 q^{12} + 2 q^{15} + 4 q^{16} - 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display