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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 219351.k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 219351.k1 | 219351l1 | \([0, -1, 1, 302776, 6433319]\) | \(127172465487872/74359330947\) | \(-1794853481527047843\) | \([]\) | \(4976640\) | \(2.1920\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 219351.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 219351.k do not have complex multiplication.Modular form 219351.2.a.k
sage: E.q_eigenform(10)