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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 7200.bk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 7200.bk1 | 7200bs1 | \([0, 0, 0, 600, -9200]\) | \(12800/27\) | \(-50388480000\) | \([]\) | \(4608\) | \(0.73789\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7200.bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7200.bk do not have complex multiplication.Modular form 7200.2.a.bk
sage: E.q_eigenform(10)