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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 250173bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 250173.bd1 | 250173bd1 | \([0, 0, 1, -1179216, -492875376]\) | \(979217654243917824/2706784157\) | \(501277478387301\) | \([]\) | \(2240000\) | \(2.0535\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250173bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 250173bd do not have complex multiplication.Modular form 250173.2.a.bd
sage: E.q_eigenform(10)