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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 174570.bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 174570.bd1 | 174570ce1 | \([1, 0, 1, -60725244, -191050835654]\) | \(-13749312510897263/797253304320\) | \(-1435974910936139075420160\) | \([]\) | \(53018496\) | \(3.3917\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 174570.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 174570.bd do not have complex multiplication.Modular form 174570.2.a.bd
sage: E.q_eigenform(10)