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SageMath
E = EllipticCurve("hg1")
E.isogeny_class()
Elliptic curves in class 435600hg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435600.hg1 | 435600hg1 | \([0, 0, 0, 13200, 110000]\) | \(45056/27\) | \(-152425152000000\) | \([]\) | \(921600\) | \(1.4108\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435600hg1 has rank \(2\).
Complex multiplication
The elliptic curves in class 435600hg do not have complex multiplication.Modular form 435600.2.a.hg
sage: E.q_eigenform(10)