Properties

Label 17100.bb
Number of curves $1$
Conductor $17100$
CM no
Rank $1$

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

Elliptic curves in class 17100.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17100.bb1 17100r1 \([0, 0, 0, -4800, 128500]\) \(-4194304/19\) \(-55404000000\) \([]\) \(20160\) \(0.91309\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17100.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 17100.bb do not have complex multiplication.

Modular form 17100.2.a.bb

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} - 5 q^{11} + 4 q^{13} - 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display