Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1400.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1400.m1 1400c1 [0, -1, 0, -208, 2037] [] 720 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1400.m1 has rank \(0\).

Complex multiplication

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

Modular form 1400.2.a.m

sage: E.q_eigenform(10)
 
\( q + 2q^{3} + q^{7} + q^{9} + 5q^{11} + 8q^{17} - 2q^{19} + O(q^{20}) \)