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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 328560.di
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
328560.di1 | 328560di1 | \([0, 1, 0, -3928080, -2834769900]\) | \(1195367376229058809/73242187500000\) | \(410700000000000000000\) | \([]\) | \(20563200\) | \(2.7073\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 328560.di1 has rank \(0\).
Complex multiplication
The elliptic curves in class 328560.di do not have complex multiplication.Modular form 328560.2.a.di
sage: E.q_eigenform(10)