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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 28560di
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28560.ci1 | 28560di1 | \([0, 1, 0, -76157621, -255877402845]\) | \(-11926249134908509075308544/2246680441062421875\) | \(-9202403086591680000000\) | \([]\) | \(3024000\) | \(3.2160\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28560di1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28560di do not have complex multiplication.Modular form 28560.2.a.di
sage: E.q_eigenform(10)