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SageMath
E = EllipticCurve("hj1")
E.isogeny_class()
Elliptic curves in class 473200hj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
473200.hj1 | 473200hj1 | \([0, -1, 0, -4788, 303887]\) | \(-6288640/16807\) | \(-32449671545200\) | \([]\) | \(1036800\) | \(1.2800\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 473200hj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 473200hj do not have complex multiplication.Modular form 473200.2.a.hj
sage: E.q_eigenform(10)