Properties

Label 20808bb
Number of curves $1$
Conductor $20808$
CM no
Rank $1$

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

Elliptic curves in class 20808bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20808.u1 20808bb1 \([0, 0, 0, -3315, -73474]\) \(-18674500/3\) \(-647212032\) \([]\) \(11520\) \(0.70038\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20808bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20808bb do not have complex multiplication.

Modular form 20808.2.a.bb

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