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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 202800.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202800.t1 | 202800es1 | \([0, -1, 0, -6504008, -6446953488]\) | \(-2813198004118489/33177600000\) | \(-358848921600000000000\) | \([]\) | \(9400320\) | \(2.7566\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202800.t do not have complex multiplication.Modular form 202800.2.a.t
sage: E.q_eigenform(10)