Properties

Label 266616ba
Number of curves $1$
Conductor $266616$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 266616ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
266616.ba1 266616ba1 \([0, 0, 0, -134895, 19187359]\) \(-157216000/1127\) \(-1945980316676592\) \([]\) \(1520640\) \(1.7661\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 266616ba1 has rank \(2\).

Complex multiplication

The elliptic curves in class 266616ba do not have complex multiplication.

Modular form 266616.2.a.ba

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