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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 14450.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14450.i1 | 14450m1 | \([1, 1, 0, 9804175, -1914582875]\) | \(11053587253415/6565418768\) | \(-61903612705662106250000\) | \([]\) | \(1935360\) | \(3.0627\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14450.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14450.i do not have complex multiplication.Modular form 14450.2.a.i
sage: E.q_eigenform(10)