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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 287490i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
287490.i1 | 287490i1 | \([1, 1, 0, 441646217, 388151881237]\) | \(3713102264066983114319/2174129434036224000\) | \(-5578221305490963379439616000\) | \([]\) | \(193052160\) | \(4.0135\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 287490i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 287490i do not have complex multiplication.Modular form 287490.2.a.i
sage: E.q_eigenform(10)