Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 20808d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20808.bc1 20808d1 \([0, 0, 0, -1836, -31212]\) \(-27648\) \(-24755860224\) \([]\) \(21504\) \(0.76600\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20808d1 has rank \(1\).

Complex multiplication

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

Modular form 20808.2.a.d

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