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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 433200.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
433200.t1 | 433200t1 | \([0, -1, 0, 12631992, 22216726512]\) | \(205083359/314928\) | \(-342310370648067072000000\) | \([]\) | \(47278080\) | \(3.2011\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433200.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 433200.t do not have complex multiplication.Modular form 433200.2.a.t
sage: E.q_eigenform(10)