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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 42483j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42483.m1 | 42483j1 | \([0, -1, 1, -18881, 1096934]\) | \(-629407744/70227\) | \(-83060343849987\) | \([]\) | \(172800\) | \(1.4082\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42483j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 42483j do not have complex multiplication.Modular form 42483.2.a.j
sage: E.q_eigenform(10)