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SageMath
E = EllipticCurve("tb1")
E.isogeny_class()
Elliptic curves in class 423360tb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 423360.tb1 | 423360tb1 | \([0, 0, 0, -322812, -73569384]\) | \(-1568892672/78125\) | \(-185254821360000000\) | \([]\) | \(4644864\) | \(2.0745\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 423360tb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 423360tb do not have complex multiplication.Modular form 423360.2.a.tb
sage: E.q_eigenform(10)