Properties

Label 7400.e
Number of curves $1$
Conductor $7400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 7400.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7400.e1 7400c1 \([0, 1, 0, 792, 74288]\) \(42868750/1874161\) \(-2398926080000\) \([]\) \(9216\) \(1.0553\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7400.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7400.e do not have complex multiplication.

Modular form 7400.2.a.e

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