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SageMath
E = EllipticCurve("cv1")
E.isogeny_class()
Elliptic curves in class 77760.cv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77760.cv1 | 77760dn1 | \([0, 0, 0, -7047, -182736]\) | \(379297728/78125\) | \(7971615000000\) | \([]\) | \(145152\) | \(1.1909\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77760.cv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77760.cv do not have complex multiplication.Modular form 77760.2.a.cv
sage: E.q_eigenform(10)