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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 81120.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
81120.t1 | 81120h1 | \([0, -1, 0, 1132920, 1770084900]\) | \(2278334968/20503125\) | \(-1447183304034062400000\) | \([]\) | \(2595840\) | \(2.7416\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 81120.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 81120.t do not have complex multiplication.Modular form 81120.2.a.t
sage: E.q_eigenform(10)