Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 1472.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1472.a1 1472g1 \([0, 0, 0, -220, -1256]\) \(-1149984000/23\) \(-23552\) \([]\) \(384\) \(-0.040290\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1472.a1 has rank \(0\).

Complex multiplication

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

Modular form 1472.2.a.a

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