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SageMath
E = EllipticCurve("hg1")
E.isogeny_class()
Elliptic curves in class 478800hg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
478800.hg1 | 478800hg1 | \([0, 0, 0, -4878795, 4147816570]\) | \(-172041783999846385/1179967488\) | \(-88084100992204800\) | \([]\) | \(10063872\) | \(2.4321\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 478800hg1 has rank \(2\).
Complex multiplication
The elliptic curves in class 478800hg do not have complex multiplication.Modular form 478800.2.a.hg
sage: E.q_eigenform(10)