Show commands:
SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 46200.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46200.r1 | 46200cb1 | \([0, -1, 0, -11033, -508563]\) | \(-37135043584/6847995\) | \(-27391980000000\) | \([]\) | \(138240\) | \(1.3031\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46200.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46200.r do not have complex multiplication.Modular form 46200.2.a.r
sage: E.q_eigenform(10)