Properties

Label 1400.b
Number of curves $1$
Conductor $1400$
CM no
Rank $1$

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

Elliptic curves in class 1400.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1400.b1 1400n1 [0, 1, 0, -8, 13] [] 144 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1400.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1400.b do not have complex multiplication.

Modular form 1400.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2q^{3} - q^{7} + q^{9} + 5q^{11} - 8q^{17} - 2q^{19} + O(q^{20})\)  Toggle raw display