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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 27225bw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 27225.h1 | 27225bw1 | \([1, -1, 1, -3961805, 3552290822]\) | \(-10241915/2187\) | \(-1468488373655544140625\) | \([]\) | \(887040\) | \(2.7828\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27225bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 27225bw do not have complex multiplication.Modular form 27225.2.a.bw
sage: E.q_eigenform(10)