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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 43190.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43190.i1 | 43190p1 | \([1, 1, 1, -9730, -373473]\) | \(-101874390302149921/12093200\) | \(-12093200\) | \([]\) | \(50944\) | \(0.78003\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43190.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43190.i do not have complex multiplication.Modular form 43190.2.a.i
sage: E.q_eigenform(10)