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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 96330t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96330.w1 | 96330t1 | \([1, 1, 0, -5191007, -4714438971]\) | \(-18964083896367961/785172191040\) | \(-640489077506208939840\) | \([]\) | \(5091840\) | \(2.7595\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96330t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96330t do not have complex multiplication.Modular form 96330.2.a.t
sage: E.q_eigenform(10)