Properties

Label 8624bc
Number of curves 11
Conductor 86248624
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 8624bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8624.be1 8624bc1 [0,0,0,91,266][0, 0, 0, -91, 266] 415233/88415233/88 1766195217661952 [][] 34563456 0.105100.10510 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8624bc1 has rank 00.

Complex multiplication

The elliptic curves in class 8624bc do not have complex multiplication.

Modular form 8624.2.a.bc

sage: E.q_eigenform(10)
 
q+3q32q5+6q9+q11+7q136q152q17+O(q20)q + 3 q^{3} - 2 q^{5} + 6 q^{9} + q^{11} + 7 q^{13} - 6 q^{15} - 2 q^{17} + O(q^{20}) Copy content Toggle raw display