Properties

Label 1472.b
Number of curves $1$
Conductor $1472$
CM no
Rank $0$

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Copy content sage:E = EllipticCurve("b1") E.isogeny_class()
 

Elliptic curves in class 1472.b

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1472.b1 1472l1 \([0, 0, 0, -4, -8]\) \(-6912/23\) \(-23552\) \([]\) \(192\) \(-0.47484\) \(\Gamma_0(N)\)-optimal

Rank

Copy content sage:E.rank()
 

The elliptic curve 1472.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1472.b do not have complex multiplication.

Modular form 1472.2.a.b

Copy content sage:E.q_eigenform(10)
 
\(q - 3 q^{3} + 2 q^{5} + 4 q^{7} + 6 q^{9} + 2 q^{11} + 5 q^{13} - 6 q^{15} + 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display