Properties

Label 344850bd
Number of curves $1$
Conductor $344850$
CM no
Rank $0$

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

Elliptic curves in class 344850bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344850.bd1 344850bd1 \([1, 1, 0, 119425, 75757125]\) \(272199695/3735552\) \(-2585061811200000000\) \([]\) \(5491200\) \(2.2138\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344850bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 344850bd do not have complex multiplication.

Modular form 344850.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - q^{12} + 4 q^{13} + q^{16} + 4 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display