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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 486720e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
486720.e1 | 486720e1 | \([0, 0, 0, -2952768, -2649546848]\) | \(-22478848/10935\) | \(-1385021215036168519680\) | \([]\) | \(33546240\) | \(2.7621\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 486720e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 486720e do not have complex multiplication.Modular form 486720.2.a.e
sage: E.q_eigenform(10)