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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 103488.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103488.k1 | 103488fs1 | \([0, -1, 0, -4377, 134289]\) | \(-76995328/18711\) | \(-2254162369536\) | \([]\) | \(184320\) | \(1.0888\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103488.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 103488.k do not have complex multiplication.Modular form 103488.2.a.k
sage: E.q_eigenform(10)