Show commands:
SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 388815.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388815.cd1 | 388815cd1 | \([0, 1, 1, 10519, 1403000]\) | \(262144/1875\) | \(-920591880691875\) | \([]\) | \(2107392\) | \(1.5529\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388815.cd do not have complex multiplication.Modular form 388815.2.a.cd
sage: E.q_eigenform(10)