Properties

Label 14700bb
Number of curves $1$
Conductor $14700$
CM no
Rank $1$

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

Elliptic curves in class 14700bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14700.bb1 14700bb1 \([0, 1, 0, -594533, -177560937]\) \(-1007878144/6075\) \(-140084664300000000\) \([]\) \(241920\) \(2.1297\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14700bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14700bb do not have complex multiplication.

Modular form 14700.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} - 4 q^{11} - 7 q^{13} + 6 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display