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SageMath
E = EllipticCurve("ew1")
E.isogeny_class()
Elliptic curves in class 432450.ew
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
432450.ew1 | 432450ew1 | \([1, -1, 1, -4984206980, 136144074553647]\) | \(-1354547383894636849/8173828125000\) | \(-82631039969911651611328125000\) | \([]\) | \(862617600\) | \(4.3882\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 432450.ew1 has rank \(0\).
Complex multiplication
The elliptic curves in class 432450.ew do not have complex multiplication.Modular form 432450.2.a.ew
sage: E.q_eigenform(10)