Properties

Label 341243b
Number of curves $1$
Conductor $341243$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 341243b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
341243.b1 341243b1 \([1, 0, 0, -35, -125002]\) \(-1/1421\) \(-6749898126461\) \([]\) \(564480\) \(1.1406\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 341243b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 341243b do not have complex multiplication.

Modular form 341243.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} + q^{5} - q^{6} - q^{7} + 3 q^{8} - 2 q^{9} - q^{10} + 5 q^{11} - q^{12} + 5 q^{13} + q^{14} + q^{15} - q^{16} + 4 q^{17} + 2 q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display