Properties

Label 266616.b
Number of curves $1$
Conductor $266616$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 266616.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
266616.b1 266616b1 \([0, 0, 0, 252333, -1642545]\) \(1029037824/596183\) \(-1029423587521917168\) \([]\) \(4967424\) \(2.1458\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 266616.b1 has rank \(0\).

Complex multiplication

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

Modular form 266616.2.a.b

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