Properties

Label 30400bl
Number of curves $1$
Conductor $30400$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 30400bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30400.a1 30400bl1 \([0, 0, 0, 500, -2000]\) \(27000/19\) \(-9728000000\) \([]\) \(27648\) \(0.60501\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30400bl1 has rank \(2\).

Complex multiplication

The elliptic curves in class 30400bl do not have complex multiplication.

Modular form 30400.2.a.bl

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{7} + 6 q^{9} + 2 q^{11} - q^{13} - 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display