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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 334620k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 334620.k1 | 334620k1 | \([0, 0, 0, 50928657, -359792113642]\) | \(95961288713264/422876953125\) | \(-64376643389695708500000000\) | \([]\) | \(72783360\) | \(3.6347\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620k do not have complex multiplication.Modular form 334620.2.a.k
sage: E.q_eigenform(10)