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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 142800.bp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 142800.bp1 | 142800ew1 | \([0, -1, 0, -14133, -951363]\) | \(-4878401536/3346875\) | \(-214200000000000\) | \([]\) | \(414720\) | \(1.4502\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142800.bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142800.bp do not have complex multiplication.Modular form 142800.2.a.bp
sage: E.q_eigenform(10)