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SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 147136.dk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147136.dk1 | 147136by1 | \([0, -1, 0, -10325, -401971]\) | \(-4194304/19\) | \(-551479853056\) | \([]\) | \(228480\) | \(1.1046\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147136.dk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 147136.dk do not have complex multiplication.Modular form 147136.2.a.dk
sage: E.q_eigenform(10)