Properties

Label 402930bd
Number of curves $1$
Conductor $402930$
CM no
Rank $0$

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

Elliptic curves in class 402930bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402930.bd1 402930bd1 \([1, -1, 0, -287700, 57713750]\) \(75526045083/2543750\) \(88699634445881250\) \([]\) \(5760000\) \(2.0245\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 402930bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 402930bd do not have complex multiplication.

Modular form 402930.2.a.bd

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