Properties

Label 7623g
Number of curves 1
Conductor 7623
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("7623.o1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7623g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
7623.o1 7623g1 [1, -1, 0, 27, -302] [] 2304 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7623g1 has rank \(1\).

Modular form 7623.2.a.o

sage: E.q_eigenform(10)
 
\( q + q^{2} - q^{4} + 3q^{5} - q^{7} - 3q^{8} + 3q^{10} - 7q^{13} - q^{14} - q^{16} + 3q^{17} + 2q^{19} + O(q^{20}) \)