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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 374790.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
374790.cd1 | 374790cd1 | \([1, 0, 1, -2862018, -1853120492]\) | \(2697846207552664460761/17933965470720000\) | \(17234540817361920000\) | \([]\) | \(27256320\) | \(2.5263\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 374790.cd do not have complex multiplication.Modular form 374790.2.a.cd
sage: E.q_eigenform(10)