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SageMath
E = EllipticCurve("nk1")
E.isogeny_class()
Elliptic curves in class 235200nk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.nk1 | 235200nk1 | \([0, -1, 0, -48991833, 132004191537]\) | \(-805661175040/729\) | \(-11767111801200000000\) | \([]\) | \(15482880\) | \(2.9576\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200nk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235200nk do not have complex multiplication.Modular form 235200.2.a.nk
sage: E.q_eigenform(10)