Properties

Label 7623r
Number of curves $1$
Conductor $7623$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 7623r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7623.s1 7623r1 \([0, 0, 1, -13431, -545801]\) \(25104437248/2470629\) \(26369737328781\) \([]\) \(32256\) \(1.3121\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7623r1 has rank \(0\).

Complex multiplication

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

Modular form 7623.2.a.r

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + 3 q^{5} + q^{7} + 6 q^{10} - 2 q^{13} + 2 q^{14} - 4 q^{16} + 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display