Properties

Label 82800dn
Number of curves $1$
Conductor $82800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dn1")
 
E.isogeny_class()
 

Elliptic curves in class 82800dn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
82800.p1 82800dn1 \([0, 0, 0, -225, 3375]\) \(-6912/23\) \(-4191750000\) \([]\) \(43008\) \(0.53261\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 82800dn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 82800dn do not have complex multiplication.

Modular form 82800.2.a.dn

sage: E.q_eigenform(10)
 
\(q - 4 q^{7} + 2 q^{11} + 5 q^{13} + 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display