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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 224336.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
224336.k1 | 224336f1 | \([0, 0, 0, -307, -2830]\) | \(-781229961/392588\) | \(-1608040448\) | \([]\) | \(393984\) | \(0.47148\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224336.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 224336.k do not have complex multiplication.Modular form 224336.2.a.k
sage: E.q_eigenform(10)