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SageMath
E = EllipticCurve("ds1")
E.isogeny_class()
Elliptic curves in class 364650.ds
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
364650.ds1 | 364650ds1 | \([1, 1, 1, -58938, 11465031]\) | \(-1449073218392281/2811246362496\) | \(-43925724414000000\) | \([]\) | \(4892160\) | \(1.8831\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 364650.ds1 has rank \(1\).
Complex multiplication
The elliptic curves in class 364650.ds do not have complex multiplication.Modular form 364650.2.a.ds
sage: E.q_eigenform(10)