Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 53900.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53900.m1 | 53900r1 | \([0, -1, 0, -26133, -1788863]\) | \(-4194304/539\) | \(-253651244000000\) | \([]\) | \(161280\) | \(1.4975\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53900.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53900.m do not have complex multiplication.Modular form 53900.2.a.m
sage: E.q_eigenform(10)