Properties

Label 87362.w
Number of curves $1$
Conductor $87362$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 87362.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87362.w1 87362br1 \([1, -1, 1, -1951995, -1075916949]\) \(-81563625/2432\) \(-24525996253384199552\) \([]\) \(5987520\) \(2.4988\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87362.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 87362.w do not have complex multiplication.

Modular form 87362.2.a.w

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