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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 167334i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
167334.f1 | 167334i1 | \([1, 0, 1, -91016333, -334703166496]\) | \(-3843995587427449/6390046584\) | \(-138612645099136915253496\) | \([]\) | \(28111104\) | \(3.3364\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 167334i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 167334i do not have complex multiplication.Modular form 167334.2.a.i
sage: E.q_eigenform(10)