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SageMath
E = EllipticCurve("ew1")
E.isogeny_class()
Elliptic curves in class 58800.ew
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.ew1 | 58800bm1 | \([0, -1, 0, -6502708, 6658828912]\) | \(-43061200/2187\) | \(-1544433423907500000000\) | \([]\) | \(4515840\) | \(2.8262\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.ew1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.ew do not have complex multiplication.Modular form 58800.2.a.ew
sage: E.q_eigenform(10)