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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 42483a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42483.t1 | 42483a1 | \([1, 1, 0, -64019, -4764234]\) | \(208537/51\) | \(7096562377347219\) | \([]\) | \(338688\) | \(1.7522\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42483a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 42483a do not have complex multiplication.Modular form 42483.2.a.a
sage: E.q_eigenform(10)