Show commands:
SageMath
E = EllipticCurve("gh1")
E.isogeny_class()
Elliptic curves in class 405600.gh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.gh1 | 405600gh1 | \([0, 1, 0, 146467, 52939563]\) | \(6656/27\) | \(-1409582685888000000\) | \([]\) | \(5990400\) | \(2.1651\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.gh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 405600.gh do not have complex multiplication.Modular form 405600.2.a.gh
sage: E.q_eigenform(10)