Show commands:
SageMath
E = EllipticCurve("bir1")
E.isogeny_class()
Elliptic curves in class 705600.bir
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 705600.bir1 | \([0, 0, 0, -2131500, -1232350000]\) | \(-2390122/81\) | \(-36294822144000000000\) | \([]\) | \(18677760\) | \(2.5270\) |
Rank
sage: E.rank()
The elliptic curve 705600.bir1 has rank \(2\).
Complex multiplication
The elliptic curves in class 705600.bir do not have complex multiplication.Modular form 705600.2.a.bir
sage: E.q_eigenform(10)