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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 34914t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
34914.w1 | 34914t1 | \([1, 1, 1, -1338910, -553812901]\) | \(1793126264853169/144450256896\) | \(21383822195877740544\) | \([]\) | \(963072\) | \(2.4522\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34914t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 34914t do not have complex multiplication.Modular form 34914.2.a.t
sage: E.q_eigenform(10)