Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 38808k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38808.bv1 | 38808k1 | \([0, 0, 0, -147, 3087]\) | \(-6912/77\) | \(-3913476336\) | \([]\) | \(12288\) | \(0.52264\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38808k do not have complex multiplication.Modular form 38808.2.a.k
sage: E.q_eigenform(10)