Properties

Label 248256k
Number of curves $1$
Conductor $248256$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 248256k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
248256.k1 248256k1 \([0, 0, 0, -1884, 31664]\) \(-61918288/431\) \(-5147836416\) \([]\) \(168960\) \(0.69712\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 248256k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 248256k do not have complex multiplication.

Modular form 248256.2.a.k

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