Show commands:
SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 67600de
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67600.e1 | 67600de1 | \([0, 0, 0, -1499875, -711278750]\) | \(-48317985/338\) | \(-2610338307200000000\) | \([]\) | \(2419200\) | \(2.3673\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67600de1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67600de do not have complex multiplication.Modular form 67600.2.a.de
sage: E.q_eigenform(10)