Properties

Label 468270a
Number of curves $1$
Conductor $468270$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 468270a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
468270.a1 468270a1 \([1, -1, 0, -152457300, 1086537004240]\) \(-303448326736684074841/219267458847866880\) \(-283176899746045719495966720\) \([]\) \(350945280\) \(3.7753\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 468270a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 468270a do not have complex multiplication.

Modular form 468270.2.a.a

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