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SageMath
E = EllipticCurve("gt1")
E.isogeny_class()
Elliptic curves in class 388080.gt
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 388080.gt1 | 388080gt1 | \([0, 0, 0, 1058757, 229218073]\) | \(229651351304189696/172613560719655\) | \(-98654864039468740080\) | \([]\) | \(11741184\) | \(2.5247\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080.gt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388080.gt do not have complex multiplication.Modular form 388080.2.a.gt
sage: E.q_eigenform(10)