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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 43120v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43120.n1 | 43120v1 | \([0, 1, 0, 117640, -8450345]\) | \(229651351304189696/172613560719655\) | \(-135329031604209520\) | \([]\) | \(489216\) | \(1.9754\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43120v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43120v do not have complex multiplication.Modular form 43120.2.a.v
sage: E.q_eigenform(10)