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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 29435e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29435.d1 | 29435e1 | \([0, 0, 1, 1682, 79264]\) | \(884736/5075\) | \(-3018728354075\) | \([]\) | \(80640\) | \(1.0766\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29435e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29435e do not have complex multiplication.Modular form 29435.2.a.e
sage: E.q_eigenform(10)