Properties

Label 7440.c
Number of curves $1$
Conductor $7440$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 7440.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7440.c1 7440j1 \([0, -1, 0, -166411976, -856188267024]\) \(-124427822010671478697670089/5317924709672681472000\) \(-21782219610819303309312000\) \([]\) \(2185920\) \(3.6280\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7440.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7440.c do not have complex multiplication.

Modular form 7440.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} - 5 q^{11} + 2 q^{13} + q^{15} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display