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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 67158p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67158.h1 | 67158p1 | \([1, -1, 0, -24885, -1504251]\) | \(2337862343841361/913886064\) | \(666222940656\) | \([]\) | \(129024\) | \(1.2336\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67158p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67158p do not have complex multiplication.Modular form 67158.2.a.p
sage: E.q_eigenform(10)