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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 5635.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5635.j1 | 5635l1 | \([0, 0, 1, 343, 3687]\) | \(37933056/71875\) | \(-8456021875\) | \([]\) | \(3780\) | \(0.58947\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5635.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5635.j do not have complex multiplication.Modular form 5635.2.a.j
sage: E.q_eigenform(10)