Properties

Label 455175.bd
Number of curves $1$
Conductor $455175$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 455175.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
455175.bd1 455175bd1 \([1, -1, 1, -1355, 20162]\) \(-180625/7\) \(-10655191575\) \([]\) \(352512\) \(0.69344\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 455175.bd1 has rank \(1\).

Complex multiplication

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

Modular form 455175.2.a.bd

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