Properties

Label 207368bb
Number of curves $1$
Conductor $207368$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 207368bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
207368.w1 207368bb1 \([0, 1, 0, -112324, 14955457]\) \(-562432/23\) \(-6409188944225648\) \([]\) \(1216512\) \(1.8006\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 207368bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 207368bb do not have complex multiplication.

Modular form 207368.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{5} - 2 q^{9} + 2 q^{11} - 7 q^{13} - 2 q^{15} - 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display