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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 117600.di
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117600.di1 | 117600x1 | \([0, -1, 0, 81667, 14582037]\) | \(12800/27\) | \(-127060920000000000\) | \([]\) | \(1088640\) | \(1.9663\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117600.di1 has rank \(0\).
Complex multiplication
The elliptic curves in class 117600.di do not have complex multiplication.Modular form 117600.2.a.di
sage: E.q_eigenform(10)