Properties

Label 74800bw
Number of curves $1$
Conductor $74800$
CM no
Rank $1$

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

Elliptic curves in class 74800bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
74800.ct1 74800bw1 \([0, 1, 0, 1992, 43988]\) \(13651919/20570\) \(-1316480000000\) \([]\) \(73728\) \(1.0109\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 74800bw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 74800bw do not have complex multiplication.

Modular form 74800.2.a.bw

sage: E.q_eigenform(10)
 
\(q + q^{3} + 4 q^{7} - 2 q^{9} + q^{11} + q^{13} - q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display