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SageMath
E = EllipticCurve("ia1")
E.isogeny_class()
Elliptic curves in class 73920.ia
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
73920.ia1 | 73920du1 | \([0, 1, 0, -22965, 1332243]\) | \(-81756451446784/24958395\) | \(-408918343680\) | \([]\) | \(138240\) | \(1.2052\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 73920.ia1 has rank \(1\).
Complex multiplication
The elliptic curves in class 73920.ia do not have complex multiplication.Modular form 73920.2.a.ia
sage: E.q_eigenform(10)