Properties

Label 147294.i
Number of curves $1$
Conductor $147294$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 147294.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
147294.i1 147294bx1 \([1, -1, 0, -76743, 8203005]\) \(-582810602977/74816\) \(-6416678108736\) \([]\) \(760320\) \(1.4788\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 147294.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 147294.i do not have complex multiplication.

Modular form 147294.2.a.i

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