Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 217800.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
217800.c1 | 217800bb1 | \([0, 0, 0, -6352500, 7370412500]\) | \(-8780800/2187\) | \(-7061101120507500000000\) | \([]\) | \(14515200\) | \(2.9104\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 217800.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 217800.c do not have complex multiplication.Modular form 217800.2.a.c
sage: E.q_eigenform(10)