Properties

Label 121968db
Number of curves $1$
Conductor $121968$
CM no
Rank $0$

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

Elliptic curves in class 121968db

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121968.en1 121968db1 \([0, 0, 0, -574992, -120173328]\) \(1216512/343\) \(5927708541624274944\) \([]\) \(1520640\) \(2.3091\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121968db1 has rank \(0\).

Complex multiplication

The elliptic curves in class 121968db do not have complex multiplication.

Modular form 121968.2.a.db

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