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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 436020.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
436020.k1 | 436020k1 | \([0, 1, 0, -785061, 268412535]\) | \(-43304636317696/176326875\) | \(-217880613681120000\) | \([]\) | \(6303744\) | \(2.1831\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 436020.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 436020.k do not have complex multiplication.Modular form 436020.2.a.k
sage: E.q_eigenform(10)