Properties

Label 1456.m
Number of curves $1$
Conductor $1456$
CM no
Rank $0$

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

Elliptic curves in class 1456.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1456.m1 1456m1 \([0, -1, 0, -5, -7]\) \(-65536/91\) \(-23296\) \([]\) \(96\) \(-0.46960\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1456.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1456.m do not have complex multiplication.

Modular form 1456.2.a.m

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