Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 30400.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30400.bm1 30400be1 \([0, 1, 0, -4033, 100063]\) \(-14172488/475\) \(-243200000000\) \([]\) \(30720\) \(0.95899\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30400.bm1 has rank \(0\).

Complex multiplication

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

Modular form 30400.2.a.bm

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