Properties

Label 7448.c
Number of curves $1$
Conductor $7448$
CM no
Rank $0$

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

Elliptic curves in class 7448.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7448.c1 7448i1 \([0, 1, 0, -71801, 7932091]\) \(-27739393024/2476099\) \(-3654199805772544\) \([]\) \(42000\) \(1.7297\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7448.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7448.c do not have complex multiplication.

Modular form 7448.2.a.c

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