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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 67158.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67158.p1 | 67158e1 | \([1, -1, 0, -21939, -1245259]\) | \(59332690053027/1671488\) | \(32899898304\) | \([]\) | \(124416\) | \(1.1201\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67158.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67158.p do not have complex multiplication.Modular form 67158.2.a.p
sage: E.q_eigenform(10)