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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 84700.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84700.bj1 | 84700bd1 | \([0, 0, 0, -121000, -16637500]\) | \(-221184/7\) | \(-6200463500000000\) | \([]\) | \(972000\) | \(1.8065\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84700.bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84700.bj do not have complex multiplication.Modular form 84700.2.a.bj
sage: E.q_eigenform(10)