Show commands:
SageMath
E = EllipticCurve("ei1")
E.isogeny_class()
Elliptic curves in class 144150.ei
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
144150.ei1 | 144150q1 | \([1, 0, 0, -249877983213, -49821030958529583]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-73744964923677517367820288000000000\) | \([]\) | \(2098483200\) | \(5.4566\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 144150.ei1 has rank \(0\).
Complex multiplication
The elliptic curves in class 144150.ei do not have complex multiplication.Modular form 144150.2.a.ei
sage: E.q_eigenform(10)