Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 290145k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 290145.k1 | 290145k1 | \([0, -1, 1, -87638710461, 3299934442787192]\) | \(125147927114815865709295304704/64514985611316331088611125\) | \(38375017995590395239663214650046125\) | \([]\) | \(1797868800\) | \(5.3282\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 290145k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 290145k do not have complex multiplication.Modular form 290145.2.a.k
sage: E.q_eigenform(10)