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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 38962.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38962.w1 | 38962bf1 | \([1, 1, 1, -2967, -20063]\) | \(1225043/644\) | \(1518518313004\) | \([]\) | \(67584\) | \(1.0291\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38962.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38962.w do not have complex multiplication.Modular form 38962.2.a.w
sage: E.q_eigenform(10)