Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 6300v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 6300.c1 | 6300v1 | \([0, 0, 0, -360, -2700]\) | \(-221184/7\) | \(-163296000\) | \([]\) | \(2016\) | \(0.35212\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6300v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6300v do not have complex multiplication.Modular form 6300.2.a.v
sage: E.q_eigenform(10)