Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 4650.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4650.m1 | 4650h1 | \([1, 1, 0, 45, -2025]\) | \(77854483/14478426\) | \(-1809803250\) | \([]\) | \(3360\) | \(0.45562\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4650.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4650.m do not have complex multiplication.Modular form 4650.2.a.m
sage: E.q_eigenform(10)