Properties

Label 302400.db
Number of curves $1$
Conductor $302400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("db1")
 
E.isogeny_class()
 

Elliptic curves in class 302400.db

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302400.db1 302400db1 \([0, 0, 0, -150, -250]\) \(13824/7\) \(189000000\) \([]\) \(82944\) \(0.28063\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302400.db1 has rank \(0\).

Complex multiplication

The elliptic curves in class 302400.db do not have complex multiplication.

Modular form 302400.2.a.db

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