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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 35490.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35490.j1 | 35490g1 | \([1, 1, 0, -10765303, -13599899243]\) | \(-4830912149265798523369/63026250000000\) | \(-1800092726250000000\) | \([]\) | \(1411200\) | \(2.6474\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35490.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35490.j do not have complex multiplication.Modular form 35490.2.a.j
sage: E.q_eigenform(10)