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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 42483.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42483.i1 | 42483d1 | \([0, -1, 1, 9441, 781346]\) | \(464027648/1594323\) | \(-319715842530483\) | \([]\) | \(133380\) | \(1.4662\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42483.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 42483.i do not have complex multiplication.Modular form 42483.2.a.i
sage: E.q_eigenform(10)