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SageMath
E = EllipticCurve("ni1")
E.isogeny_class()
Elliptic curves in class 435600ni
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435600.ni1 | 435600ni1 | \([0, 0, 0, 1597200, -146410000]\) | \(45056/27\) | \(-270030454702272000000\) | \([]\) | \(10137600\) | \(2.6097\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435600ni1 has rank \(0\).
Complex multiplication
The elliptic curves in class 435600ni do not have complex multiplication.Modular form 435600.2.a.ni
sage: E.q_eigenform(10)