Properties

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

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 1456.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1456.e1 1456l1 \([0, -1, 0, -73736, -7695632]\) \(-10824513276632329/21926008832\) \(-89808932175872\) \([]\) \(7392\) \(1.5643\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1456.e1 has rank \(0\).

Complex multiplication

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

Modular form 1456.2.a.e

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