Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 92736.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92736.m1 | 92736j1 | \([0, 0, 0, 35316, -16203024]\) | \(1888152282/45054401\) | \(-116235406525464576\) | \([]\) | \(706560\) | \(1.9547\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736.m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 92736.m do not have complex multiplication.Modular form 92736.2.a.m
sage: E.q_eigenform(10)