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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 33635j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33635.h1 | 33635j1 | \([0, 0, 1, -799552, 278180910]\) | \(-63693291257856/808080875\) | \(-717174751108200875\) | \([]\) | \(1105920\) | \(2.2359\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33635j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33635j do not have complex multiplication.Modular form 33635.2.a.j
sage: E.q_eigenform(10)