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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 141570.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141570.i1 | 141570dq1 | \([1, -1, 0, -2745, 234201325]\) | \(-14641/151632000\) | \(-23695172400124368000\) | \([]\) | \(3193344\) | \(2.3965\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141570.i do not have complex multiplication.Modular form 141570.2.a.i
sage: E.q_eigenform(10)