Properties

Label 30912bb
Number of curves $1$
Conductor $30912$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 30912bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30912.bs1 30912bb1 \([0, 1, 0, -39361, -3029089]\) \(-25727239787761/101406816\) \(-26583188373504\) \([]\) \(69120\) \(1.4335\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30912bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 30912bb do not have complex multiplication.

Modular form 30912.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} + q^{9} + q^{13} - q^{15} + 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display