Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 82800.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
82800.a1 82800ew1 \([0, 0, 0, -91875, 7681250]\) \(2941225/828\) \(24144480000000000\) \([]\) \(921600\) \(1.8505\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 82800.a1 has rank \(0\).

Complex multiplication

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

Modular form 82800.2.a.a

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} - 3 q^{11} + 5 q^{13} - 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display