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SageMath
E = EllipticCurve("bck1")
E.isogeny_class()
Elliptic curves in class 235200.bck
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 235200.bck1 | 235200bck1 | \([0, 1, 0, -45733, -4517437]\) | \(-8780800/2187\) | \(-2634735237120000\) | \([]\) | \(1257984\) | \(1.6769\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.bck1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235200.bck do not have complex multiplication.Modular form 235200.2.a.bck
sage: E.q_eigenform(10)