Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 402930.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
402930.k1 | 402930k1 | \([1, -1, 0, -208995, 31570325]\) | \(38535697268433/5920000000\) | \(155092592160000000\) | \([]\) | \(4612608\) | \(2.0221\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 402930.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 402930.k do not have complex multiplication.Modular form 402930.2.a.k
sage: E.q_eigenform(10)