Properties

Label 1400.f
Number of curves $1$
Conductor $1400$
CM no
Rank $0$

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

Elliptic curves in class 1400.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1400.f1 1400g1 [0, 0, 0, 625, 9375] [] 720 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1400.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1400.f do not have complex multiplication.

Modular form 1400.2.a.f

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