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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 83490i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83490.j1 | 83490i1 | \([1, 1, 0, -30252, 56016]\) | \(209140276356121/120891312000\) | \(1769969698992000\) | \([]\) | \(483840\) | \(1.6153\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83490i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 83490i do not have complex multiplication.Modular form 83490.2.a.i
sage: E.q_eigenform(10)