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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 26640bj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 26640.d1 | 26640bj1 | \([0, 0, 0, 29157, -994358]\) | \(918046641959/674325000\) | \(-2013523660800000\) | \([]\) | \(138240\) | \(1.6248\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26640bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26640bj do not have complex multiplication.Modular form 26640.2.a.bj
sage: E.q_eigenform(10)