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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 160446bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160446.r1 | 160446bj1 | \([1, 0, 1, 182707, -240706996]\) | \(26005537679/980187156\) | \(-25423530453618624756\) | \([]\) | \(3852288\) | \(2.4034\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 160446bj do not have complex multiplication.Modular form 160446.2.a.bj
sage: E.q_eigenform(10)