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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 424830.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
424830.a1 | 424830a1 | \([1, 1, 0, -352163123, 3123069978477]\) | \(-2451227230921/720000000\) | \(-1418744750479256022480000000\) | \([]\) | \(359856000\) | \(3.9245\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 424830.a do not have complex multiplication.Modular form 424830.2.a.a
sage: E.q_eigenform(10)