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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 334620.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
334620.t1 | 334620t1 | \([0, 0, 0, -81189126408, 8904429061159268]\) | \(-65703682316544535580729344/1954563946435546875\) | \(-1760668081150878401287500000000\) | \([]\) | \(808980480\) | \(4.9026\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620.t do not have complex multiplication.Modular form 334620.2.a.t
sage: E.q_eigenform(10)