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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 205335e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
205335.d1 | 205335e1 | \([0, 0, 1, 41067, 934274]\) | \(995328/625\) | \(-4809682878316875\) | \([]\) | \(1516320\) | \(1.6982\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 205335e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 205335e do not have complex multiplication.Modular form 205335.2.a.e
sage: E.q_eigenform(10)