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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 248773.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248773.d1 | 248773d1 | \([0, -1, 1, -1217323, -516554333]\) | \(1695716756180992000/12189877\) | \(1434126839173\) | \([]\) | \(1443840\) | \(1.9295\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248773.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 248773.d do not have complex multiplication.Modular form 248773.2.a.d
sage: E.q_eigenform(10)