Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 146205.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
146205.m1 | 146205n1 | \([0, 0, 1, -1083, 12003]\) | \(36864/5\) | \(19053581805\) | \([]\) | \(162000\) | \(0.69972\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146205.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 146205.m do not have complex multiplication.Modular form 146205.2.a.m
sage: E.q_eigenform(10)