Properties

Label 304200.w
Number of curves $1$
Conductor $304200$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 304200.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304200.w1 304200w1 \([0, 0, 0, 413205, 258784630]\) \(86614940/371293\) \(-33446014137676108800\) \([]\) \(5806080\) \(2.4289\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304200.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 304200.w do not have complex multiplication.

Modular form 304200.2.a.w

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