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SageMath
E = EllipticCurve("er1")
E.isogeny_class()
Elliptic curves in class 235950er
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235950.er1 | 235950er1 | \([1, 1, 1, 5987, -302719]\) | \(34295/78\) | \(-53977249218750\) | \([]\) | \(1075200\) | \(1.3191\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235950er1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235950er do not have complex multiplication.Modular form 235950.2.a.er
sage: E.q_eigenform(10)