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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 435344t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435344.t1 | 435344t1 | \([0, -1, 0, 3831, -184523]\) | \(5030912/14651\) | \(-18103700136704\) | \([]\) | \(817152\) | \(1.2274\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435344t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 435344t do not have complex multiplication.Modular form 435344.2.a.t
sage: E.q_eigenform(10)