Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 7623.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7623.m1 7623n1 \([1, -1, 0, -28980, -1896251]\) \(-30515071121161/85766121\) \(-7565343767289\) \([]\) \(20736\) \(1.3435\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7623.m1 has rank \(0\).

Complex multiplication

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

Modular form 7623.2.a.m

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} - q^{5} + q^{7} - 3 q^{8} - q^{10} + 5 q^{13} + q^{14} - q^{16} + 7 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display