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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 38148.k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 38148.k1 | 38148o1 | \([0, 1, 0, -658149, -8387801433]\) | \(-5102271397888/4915446963867\) | \(-30373616705582136146688\) | \([]\) | \(4644864\) | \(2.9930\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38148.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38148.k do not have complex multiplication.Modular form 38148.2.a.k
sage: E.q_eigenform(10)