Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 49725.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
49725.m1 | 49725b1 | \([0, 0, 1, -1624050, -1288876219]\) | \(-1540318675894272/1442042265625\) | \(-443495592410888671875\) | \([]\) | \(1532160\) | \(2.6582\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 49725.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 49725.m do not have complex multiplication.Modular form 49725.2.a.m
sage: E.q_eigenform(10)