Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 7400.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7400.f1 7400h1 \([0, 1, 0, -233, 1163]\) \(351232/37\) \(148000000\) \([]\) \(2048\) \(0.30248\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7400.f1 has rank \(1\).

Complex multiplication

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

Modular form 7400.2.a.f

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} - 2 q^{9} + q^{11} + 6 q^{13} + 4 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display