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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 464968.t
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 464968.t1 | 464968t1 | \([0, 0, 0, 8817425, 255262493159]\) | \(100718081964000000/37453512751940327\) | \(-28192536063356274290289392\) | \([]\) | \(176256000\) | \(3.5625\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 464968.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 464968.t do not have complex multiplication.Modular form 464968.2.a.t
sage: E.q_eigenform(10)