Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 1456.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1456.l1 1456b1 \([0, -1, 0, -1, -51]\) \(-1024/4459\) \(-1141504\) \([]\) \(192\) \(-0.15875\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1456.l1 has rank \(1\).

Complex multiplication

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

Modular form 1456.2.a.l

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