Properties

Label 15600.bm
Number of curves $1$
Conductor $15600$
CM no
Rank $1$

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

Elliptic curves in class 15600.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.bm1 15600l1 \([0, -1, 0, 47, 2077]\) \(351232/59319\) \(-1898208000\) \([]\) \(11520\) \(0.45962\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600.bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15600.bm do not have complex multiplication.

Modular form 15600.2.a.bm

sage: E.q_eigenform(10)
 
\(q - q^{3} + 5 q^{7} + q^{9} - 5 q^{11} + q^{13} - 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display