Properties

Label 20070.v
Number of curves $1$
Conductor $20070$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 20070.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20070.v1 20070v1 \([1, -1, 1, -45116243, -118131988493]\) \(-376147968271152925023018387/5647084311992320000000\) \(-152471276423792640000000\) \([]\) \(2951200\) \(3.2517\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20070.v1 has rank \(0\).

Complex multiplication

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

Modular form 20070.2.a.v

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