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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 42350.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42350.j1 | 42350bn1 | \([1, 1, 0, 13550, 359000]\) | \(397535/308\) | \(-213140932812500\) | \([]\) | \(172800\) | \(1.4375\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42350.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 42350.j do not have complex multiplication.Modular form 42350.2.a.j
sage: E.q_eigenform(10)