Properties

Label 1856m
Number of curves $1$
Conductor $1856$
CM no
Rank $1$

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

Elliptic curves in class 1856m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1856.h1 1856m1 \([0, -1, 0, 31, 1]\) \(48668/29\) \(-1900544\) \([]\) \(256\) \(-0.10588\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1856m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1856m do not have complex multiplication.

Modular form 1856.2.a.m

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