Properties

Label 26950.bb
Number of curves $1$
Conductor $26950$
CM no
Rank $1$

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

Elliptic curves in class 26950.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26950.bb1 26950a1 \([1, 0, 1, -307501, 59500648]\) \(85713473128801/8800000000\) \(330137500000000000\) \([]\) \(304128\) \(2.0971\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26950.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 26950.bb do not have complex multiplication.

Modular form 26950.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{8} - 2 q^{9} - q^{11} + q^{12} - q^{13} + q^{16} - 2 q^{17} + 2 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display