Properties

Label 19600bm
Number of curves $1$
Conductor $19600$
CM no
Rank $1$

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

Elliptic curves in class 19600bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19600.df1 19600bm1 \([0, -1, 0, -20008, -584688]\) \(2450\) \(361568318720000\) \([]\) \(68544\) \(1.4911\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 19600bm do not have complex multiplication.

Modular form 19600.2.a.bm

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{9} - 4 q^{11} + 2 q^{13} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display