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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 203522.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
203522.i1 | 203522r1 | \([1, -1, 0, -120841, -23301679]\) | \(-185193/116\) | \(-122236832495393396\) | \([]\) | \(4804800\) | \(1.9804\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 203522.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 203522.i do not have complex multiplication.Modular form 203522.2.a.i
sage: E.q_eigenform(10)