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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 348726.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.e1 | 348726e1 | \([1, 1, 0, -3188720, -1843114752]\) | \(211127242011625/35895508992\) | \(609633639854414364672\) | \([]\) | \(18604800\) | \(2.7089\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348726.e do not have complex multiplication.Modular form 348726.2.a.e
sage: E.q_eigenform(10)