Show commands:
SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 363726bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 363726.bb1 | 363726bb1 | \([1, -1, 0, -46906074309, -3910123007903403]\) | \(238611350477842046503213457043/13977359276805455872\) | \(668567103599972255671517184\) | \([]\) | \(517816320\) | \(4.6119\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363726bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 363726bb do not have complex multiplication.Modular form 363726.2.a.bb
sage: E.q_eigenform(10)