Properties

Label 2256.c
Number of curves $1$
Conductor $2256$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 2256.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2256.c1 2256h1 \([0, -1, 0, -197, -339]\) \(207474688/102789\) \(421023744\) \([]\) \(1120\) \(0.34788\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2256.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2256.c do not have complex multiplication.

Modular form 2256.2.a.c

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