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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 37030i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37030.k1 | 37030i1 | \([1, -1, 0, 16, -32]\) | \(826551/1120\) | \(-592480\) | \([]\) | \(4320\) | \(-0.20658\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37030i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37030i do not have complex multiplication.Modular form 37030.2.a.i
sage: E.q_eigenform(10)