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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 255024.di
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
255024.di1 | 255024di1 | \([0, 0, 0, -1875, -33518]\) | \(-244140625/21252\) | \(-63458131968\) | \([]\) | \(178176\) | \(0.81700\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 255024.di1 has rank \(0\).
Complex multiplication
The elliptic curves in class 255024.di do not have complex multiplication.Modular form 255024.2.a.di
sage: E.q_eigenform(10)