Properties

Label 260100.bd
Number of curves $1$
Conductor $260100$
CM no
Rank $1$

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

Elliptic curves in class 260100.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
260100.bd1 260100bd1 \([0, 0, 0, -73695, -7516890]\) \(36720\) \(1205410885804800\) \([]\) \(969408\) \(1.6739\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 260100.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 260100.bd do not have complex multiplication.

Modular form 260100.2.a.bd

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