Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 61347s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
61347.b1 61347s1 \([0, -1, 1, -523618, 147256020]\) \(-160855552000/1594323\) \(-157365128285922843\) \([]\) \(900432\) \(2.1191\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61347s1 has rank \(0\).

Complex multiplication

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

Modular form 61347.2.a.s

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - q^{3} + 2 q^{4} + 2 q^{6} + q^{9} - 2 q^{12} - 4 q^{16} - 2 q^{17} - 2 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display