Show commands:
SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 84150.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84150.r1 | 84150dr1 | \([1, -1, 0, 1627758, 645144916]\) | \(334992828740851/320302743552\) | \(-456056054784000000000\) | \([]\) | \(3064320\) | \(2.6512\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84150.r do not have complex multiplication.Modular form 84150.2.a.r
sage: E.q_eigenform(10)