Properties

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

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Show commands: SageMath
E = EllipticCurve("fe1")
 
E.isogeny_class()
 

Elliptic curves in class 82800fe

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
82800.cl1 82800fe1 \([0, 0, 0, -66000, 6550000]\) \(-5451776/23\) \(-134136000000000\) \([]\) \(268800\) \(1.5655\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 82800fe1 has rank \(0\).

Complex multiplication

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

Modular form 82800.2.a.fe

sage: E.q_eigenform(10)
 
\(q - q^{7} + 2 q^{13} + 5 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display