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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 59248s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59248.x1 | 59248s1 | \([0, 1, 0, 296064, 28601012]\) | \(8947391/6272\) | \(-2011817982699241472\) | \([]\) | \(1112832\) | \(2.2006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59248s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59248s do not have complex multiplication.Modular form 59248.2.a.s
sage: E.q_eigenform(10)