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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 51376.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51376.p1 | 51376d1 | \([0, 0, 0, -18083, -940654]\) | \(-22359484836/130321\) | \(-3811428434944\) | \([]\) | \(72192\) | \(1.2551\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51376.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51376.p do not have complex multiplication.Modular form 51376.2.a.p
sage: E.q_eigenform(10)