Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 468270e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
468270.e1 | 468270e1 | \([1, -1, 0, -34260, -206225200]\) | \(-4583395507131/18933760000000\) | \(-18371408394240000000\) | \([]\) | \(12794880\) | \(2.3754\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 468270e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 468270e do not have complex multiplication.Modular form 468270.2.a.e
sage: E.q_eigenform(10)