Properties

Label 236691bc
Number of curves $1$
Conductor $236691$
CM no
Rank $0$

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

Elliptic curves in class 236691bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236691.bc1 236691bc1 \([0, 0, 1, -37281, 40459783]\) \(-325660672/40000779\) \(-703865219548196979\) \([]\) \(5087232\) \(2.1041\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236691bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 236691bc do not have complex multiplication.

Modular form 236691.2.a.bc

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + 3 q^{5} - q^{7} + 6 q^{10} - 6 q^{11} - q^{13} - 2 q^{14} - 4 q^{16} - q^{19} + O(q^{20})\) Copy content Toggle raw display