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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 2800.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2800.t1 | 2800bd1 | \([0, 0, 0, -125, -625]\) | \(-34560/7\) | \(-43750000\) | \([]\) | \(720\) | \(0.18864\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2800.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2800.t do not have complex multiplication.Modular form 2800.2.a.t
sage: E.q_eigenform(10)