Show commands:
SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 12870.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12870.cd1 | 12870bk1 | \([1, -1, 1, -2, -11231]\) | \(-27/2768480\) | \(-54491991840\) | \([]\) | \(14400\) | \(0.73899\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12870.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12870.cd do not have complex multiplication.Modular form 12870.2.a.cd
sage: E.q_eigenform(10)