Properties

Label 226512.fb
Number of curves $1$
Conductor $226512$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fb1")
 
E.isogeny_class()
 

Elliptic curves in class 226512.fb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
226512.fb1 226512cn1 \([0, 0, 0, -2739, 34738]\) \(6289657/2197\) \(793785028608\) \([]\) \(276480\) \(0.98481\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 226512.fb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 226512.fb do not have complex multiplication.

Modular form 226512.2.a.fb

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