Properties

Label 303600.bc
Number of curves $1$
Conductor $303600$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 303600.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303600.bc1 303600bc1 \([0, -1, 0, -42008, 3382512]\) \(-128100283921/2459160\) \(-157386240000000\) \([]\) \(967680\) \(1.5182\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303600.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 303600.bc do not have complex multiplication.

Modular form 303600.2.a.bc

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