Properties

Label 10800.bw
Number of curves $1$
Conductor $10800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bw1")
 
E.isogeny_class()
 

Elliptic curves in class 10800.bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10800.bw1 10800n1 \([0, 0, 0, -6750, 219375]\) \(-30720\) \(-1107168750000\) \([]\) \(21600\) \(1.0863\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10800.bw1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10800.bw do not have complex multiplication.

Modular form 10800.2.a.bw

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