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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 338100t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338100.t1 | 338100t1 | \([0, -1, 0, -1966533, -1269084438]\) | \(-583583924224/145546875\) | \(-209762192636718750000\) | \([]\) | \(10160640\) | \(2.6173\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338100t do not have complex multiplication.Modular form 338100.2.a.t
sage: E.q_eigenform(10)