Properties

Label 30400.bp
Number of curves $1$
Conductor $30400$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bp1")
 
E.isogeny_class()
 

Elliptic curves in class 30400.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30400.bp1 30400bg1 \([0, -1, 0, -133, -3363]\) \(-1024/19\) \(-4864000000\) \([]\) \(17920\) \(0.53981\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30400.bp1 has rank \(0\).

Complex multiplication

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

Modular form 30400.2.a.bp

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - 3 q^{7} + q^{9} - 3 q^{11} - 4 q^{13} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display