Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 7623g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7623.o1 7623g1 \([1, -1, 0, 27, -302]\) \(24167/441\) \(-38900169\) \([]\) \(2304\) \(0.13682\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

The elliptic curves in class 7623g do not have complex multiplication.

Modular form 7623.2.a.g

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