Properties

Label 305283.k
Number of curves $1$
Conductor $305283$
CM no
Rank $0$

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

Elliptic curves in class 305283.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
305283.k1 305283k1 \([0, 1, 1, -1967379, 1367847806]\) \(-950272/363\) \(-321696783919751569923\) \([]\) \(8769600\) \(2.6446\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 305283.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 305283.k do not have complex multiplication.

Modular form 305283.2.a.k

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} - 2 q^{5} + 3 q^{7} + q^{9} - 2 q^{12} - 2 q^{13} - 2 q^{15} + 4 q^{16} + 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display