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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 84700bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84700.d1 | 84700bl1 | \([0, 0, 0, -4840, -133100]\) | \(-221184/7\) | \(-396829664000\) | \([]\) | \(194400\) | \(1.0018\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84700bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84700bl do not have complex multiplication.Modular form 84700.2.a.bl
sage: E.q_eigenform(10)