Show commands:
SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 101430bp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 101430.h1 | 101430bp1 | \([1, -1, 0, -9900, 162000]\) | \(3004210524049/1430784000\) | \(51109035264000\) | \([]\) | \(380160\) | \(1.3244\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101430bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 101430bp do not have complex multiplication.Modular form 101430.2.a.bp
sage: E.q_eigenform(10)