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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 36414.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.bj1 | 36414bc1 | \([1, -1, 0, 2547, -59963]\) | \(30004847/42336\) | \(-2577703945824\) | \([]\) | \(69120\) | \(1.0671\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414.bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 36414.bj do not have complex multiplication.Modular form 36414.2.a.bj
sage: E.q_eigenform(10)