Properties

Label 82800.c
Number of curves $1$
Conductor $82800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 82800.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
82800.c1 82800eu1 \([0, 0, 0, 172561200, 381042249500]\) \(194879272239195815936/134287459716796875\) \(-391582232534179687500000000\) \([]\) \(33546240\) \(3.7913\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 82800.c1 has rank \(0\).

Complex multiplication

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

Modular form 82800.2.a.c

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