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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 28314.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28314.t1 | 28314n1 | \([1, -1, 0, 291, -379]\) | \(2803221/1664\) | \(-1614577536\) | \([]\) | \(10752\) | \(0.45620\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28314.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28314.t do not have complex multiplication.Modular form 28314.2.a.t
sage: E.q_eigenform(10)