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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 76440.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76440.cd1 | 76440bb1 | \([0, 1, 0, -3796, 709904]\) | \(-482370434896/17138671875\) | \(-214987500000000\) | \([]\) | \(215424\) | \(1.4304\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76440.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 76440.cd do not have complex multiplication.Modular form 76440.2.a.cd
sage: E.q_eigenform(10)