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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 22800i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22800.j1 | 22800i1 | \([0, -1, 0, -608, -7248]\) | \(-972542500/373977\) | \(-9573811200\) | \([]\) | \(13824\) | \(0.62466\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22800i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22800i do not have complex multiplication.Modular form 22800.2.a.i
sage: E.q_eigenform(10)