Properties

Label 47040dr
Number of curves $1$
Conductor $47040$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dr1")
 
E.isogeny_class()
 

Elliptic curves in class 47040dr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47040.hi1 47040dr1 \([0, 1, 0, -60825, -9535527]\) \(-1376628736/1366875\) \(-24710934782520000\) \([]\) \(376320\) \(1.8413\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47040dr1 has rank \(0\).

Complex multiplication

The elliptic curves in class 47040dr do not have complex multiplication.

Modular form 47040.2.a.dr

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{9} + 6 q^{11} - 3 q^{13} + q^{15} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display