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SageMath
E = EllipticCurve("hi1")
E.isogeny_class()
Elliptic curves in class 84672hi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84672.bs1 | 84672hi1 | \([0, 0, 0, -2646, 55566]\) | \(-13824\) | \(-148203857088\) | \([]\) | \(95040\) | \(0.89308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84672hi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84672hi do not have complex multiplication.Modular form 84672.2.a.hi
sage: E.q_eigenform(10)