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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 67158d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67158.o1 | 67158d1 | \([1, -1, 0, -2184, -82008]\) | \(-42680519796123/84343314328\) | \(-2277269486856\) | \([]\) | \(101760\) | \(1.0607\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67158d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67158d do not have complex multiplication.Modular form 67158.2.a.d
sage: E.q_eigenform(10)