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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 18928k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18928.t1 | 18928k1 | \([0, 0, 0, 169, 338]\) | \(73008/49\) | \(-358269184\) | \([]\) | \(5760\) | \(0.33012\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18928k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18928k do not have complex multiplication.Modular form 18928.2.a.k
sage: E.q_eigenform(10)