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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 327990e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.e1 | 327990e1 | \([1, 1, 0, -52512057, 145819348389]\) | \(32012296758508921/157697280000\) | \(78887498653706446080000\) | \([]\) | \(51448320\) | \(3.2413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 327990e do not have complex multiplication.Modular form 327990.2.a.e
sage: E.q_eigenform(10)