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SageMath
sage: E = EllipticCurve("k1")
sage: E.isogeny_class()
Elliptic curves in class 338130.k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 338130.k1 | 338130k1 | \([1, -1, 0, -60845481765, 5777386324802325]\) | \(-16950869189311243954609/1791373816627200\) | \(-2632709643365726370336551731200\) | \([]\) | \(1253180160\) | \(4.8685\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338130.k do not have complex multiplication.Modular form 338130.2.a.k
sage: E.q_eigenform(10)