Properties

Label 20070bi
Number of curves $1$
Conductor $20070$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 20070bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20070.bi1 20070bi1 \([1, -1, 1, -26897, -1881471]\) \(-2951838380347849/404518717440\) \(-294894145013760\) \([]\) \(100672\) \(1.5084\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20070bi1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20070bi do not have complex multiplication.

Modular form 20070.2.a.bi

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} + q^{7} + q^{8} + q^{10} + 3 q^{11} - 4 q^{13} + q^{14} + q^{16} - 6 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display