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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 63426.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63426.p1 | 63426m1 | \([1, 0, 1, -6112, -305362]\) | \(-26269282691257/26575110144\) | \(-25538680848384\) | \([]\) | \(188160\) | \(1.2682\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63426.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63426.p do not have complex multiplication.Modular form 63426.2.a.p
sage: E.q_eigenform(10)