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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 9200k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 9200.c1 | 9200k1 | \([0, 0, 0, -4675, -123875]\) | \(-45198971136/359375\) | \(-89843750000\) | \([]\) | \(13824\) | \(0.92999\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9200k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9200k do not have complex multiplication.Modular form 9200.2.a.k
sage: E.q_eigenform(10)