Properties

Label 62866d
Number of curves $1$
Conductor $62866$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 62866d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62866.a1 62866d1 \([1, -1, 0, -11531635, 34119806197]\) \(-26827837227982881/64019602866176\) \(-404691151969899458330624\) \([]\) \(13305600\) \(3.2180\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62866d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 62866d do not have complex multiplication.

Modular form 62866.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} - 3 q^{3} + q^{4} - q^{5} + 3 q^{6} - q^{8} + 6 q^{9} + q^{10} - 2 q^{11} - 3 q^{12} + 5 q^{13} + 3 q^{15} + q^{16} - q^{17} - 6 q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display