Properties

Label 455175bi
Number of curves $1$
Conductor $455175$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 455175bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
455175.bi1 455175bi1 \([1, -1, 1, -2630, 9622]\) \(610929/343\) \(1129118484375\) \([]\) \(483840\) \(1.0029\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 455175bi1 has rank \(0\).

Complex multiplication

The elliptic curves in class 455175bi do not have complex multiplication.

Modular form 455175.2.a.bi

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - q^{7} + 3 q^{8} + 2 q^{13} + q^{14} - q^{16} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display