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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 426888.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.k1 | 426888k1 | \([0, 0, 0, -55902, 9736265]\) | \(-157696/243\) | \(-29770857630925488\) | \([]\) | \(4815360\) | \(1.8525\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888.k1 has rank \(2\).
Complex multiplication
The elliptic curves in class 426888.k do not have complex multiplication.Modular form 426888.2.a.k
sage: E.q_eigenform(10)