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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 72128.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72128.v1 | 72128e1 | \([0, -1, 0, -849, -9575]\) | \(-562432/23\) | \(-2770869248\) | \([]\) | \(36864\) | \(0.57941\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72128.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72128.v do not have complex multiplication.Modular form 72128.2.a.v
sage: E.q_eigenform(10)