Properties

Label 84700g
Number of curves $1$
Conductor $84700$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 84700g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84700.s1 84700g1 \([0, 0, 0, -605, -6655]\) \(-34560/7\) \(-4960370800\) \([]\) \(42840\) \(0.58287\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84700g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 84700g do not have complex multiplication.

Modular form 84700.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{7} - 3 q^{9} + 6 q^{13} - 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display