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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 424830.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
424830.c1 | 424830c1 | \([1, 1, 0, -4373128, 3518127712]\) | \(-5551601340851881/12960\) | \(-21591716257440\) | \([]\) | \(10584000\) | \(2.2277\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 424830.c do not have complex multiplication.Modular form 424830.2.a.c
sage: E.q_eigenform(10)