Properties

Label 355740.bd
Number of curves $1$
Conductor $355740$
CM no
Rank $2$

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

Elliptic curves in class 355740.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
355740.bd1 355740bd1 \([0, -1, 0, 21740, 3615592]\) \(126263984/703125\) \(-6327547380000000\) \([]\) \(2080512\) \(1.7140\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 355740.bd1 has rank \(2\).

Complex multiplication

The elliptic curves in class 355740.bd do not have complex multiplication.

Modular form 355740.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} - 2 q^{13} - q^{15} - 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display