Properties

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

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

Elliptic curves in class 7448.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7448.g1 7448d1 \([0, -1, 0, -408, 4684]\) \(-31250/19\) \(-4577957888\) \([]\) \(2640\) \(0.55578\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7448.g1 has rank \(0\).

Complex multiplication

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

Modular form 7448.2.a.g

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