Properties

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

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 82800bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
82800.ew1 82800bm1 \([0, 0, 0, -45300, 3719500]\) \(-3525581824/9315\) \(-27162540000000\) \([]\) \(294912\) \(1.4528\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 82800bm1 has rank \(1\).

Complex multiplication

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

Modular form 82800.2.a.bm

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} - 6 q^{11} + 2 q^{13} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display