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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 13650j
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 13650.s1 | 13650j1 | \([1, 1, 0, -4245180, -3372402480]\) | \(-338432601090393003419185/468839239916716032\) | \(-11720980997917900800\) | \([]\) | \(443520\) | \(2.5633\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13650j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13650j do not have complex multiplication.Modular form 13650.2.a.j
sage: E.q_eigenform(10)