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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 3330.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3330.t1 | 3330p1 | \([1, -1, 1, 103, 121]\) | \(4516672077/2960000\) | \(-79920000\) | \([]\) | \(896\) | \(0.20522\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3330.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3330.t do not have complex multiplication.Modular form 3330.2.a.t
sage: E.q_eigenform(10)