Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 5070j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5070.i1 | 5070j1 | \([1, 0, 1, -836554, -294572068]\) | \(-79370312059129/12960\) | \(-10571870144160\) | \([]\) | \(87360\) | \(1.9006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5070j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5070j do not have complex multiplication.Modular form 5070.2.a.j
sage: E.q_eigenform(10)