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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 344760.cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.cf1 | 344760cf1 | \([0, 1, 0, 815, 3875]\) | \(1382091776/929475\) | \(-40212806400\) | \([]\) | \(301056\) | \(0.72350\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760.cf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 344760.cf do not have complex multiplication.Modular form 344760.2.a.cf
sage: E.q_eigenform(10)