Properties

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

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1400.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1400.d1 1400f1 [0, -1, 0, 7, 157] [] 192 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1400.d1 has rank \(1\).

Complex multiplication

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

Modular form 1400.2.a.d

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