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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 164730.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
164730.k1 | 164730dh1 | \([1, 1, 0, -294063, -107024283]\) | \(-1394947801/1641600\) | \(-3309455586977078400\) | \([]\) | \(4112640\) | \(2.2476\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164730.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 164730.k do not have complex multiplication.Modular form 164730.2.a.k
sage: E.q_eigenform(10)