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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 88445.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.e1 | 88445k1 | \([1, -1, 1, -453123, -117424044]\) | \(-92959677/125\) | \(-13835235042274625\) | \([]\) | \(1896960\) | \(2.0028\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88445.e do not have complex multiplication.Modular form 88445.2.a.e
sage: E.q_eigenform(10)