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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 166635bz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 166635.ca1 | 166635bz1 | \([0, 0, 1, -22521117, 39490392357]\) | \(22128056725504/1004653125\) | \(57354349165517141128125\) | \([]\) | \(28262400\) | \(3.1290\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166635bz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 166635bz do not have complex multiplication.Modular form 166635.2.a.bz
sage: E.q_eigenform(10)