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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 88200bq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 88200.em1 | 88200bq1 | \([0, 0, 0, -32485530, -72804310495]\) | \(-46028377077760/1162261467\) | \(-95735224370910070522800\) | \([]\) | \(6128640\) | \(3.1938\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200bq do not have complex multiplication.Modular form 88200.2.a.bq
sage: E.q_eigenform(10)