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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 76440k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76440.c1 | 76440k1 | \([0, -1, 0, -5161, -217139]\) | \(-504871936/394875\) | \(-11892902112000\) | \([]\) | \(158400\) | \(1.2076\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76440k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 76440k do not have complex multiplication.Modular form 76440.2.a.k
sage: E.q_eigenform(10)