Properties

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

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 30400bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30400.g1 30400bj1 \([0, 1, 0, -2133, 37363]\) \(-4194304/19\) \(-4864000000\) \([]\) \(26880\) \(0.71036\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30400bj1 has rank \(0\).

Complex multiplication

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

Modular form 30400.2.a.bj

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