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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 333270e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333270.e1 | 333270e1 | \([1, -1, 0, 5970195, 42550771365]\) | \(412229439599/13940398080\) | \(-795839319154683121489920\) | \([]\) | \(46632960\) | \(3.2661\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333270e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333270e do not have complex multiplication.Modular form 333270.2.a.e
sage: E.q_eigenform(10)