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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 490392t
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 490392.t1 | 490392t1 | \([0, 0, 0, -3955035, -3028593274]\) | \(-77903860670500/34756533\) | \(-3052475407174136832\) | \([]\) | \(9732096\) | \(2.5052\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 490392t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 490392t do not have complex multiplication.Modular form 490392.2.a.t
sage: E.q_eigenform(10)