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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 30960.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30960.p1 | 30960bm1 | \([0, 0, 0, -6483, 369682]\) | \(-10091699281/13932000\) | \(-41600729088000\) | \([]\) | \(92160\) | \(1.3057\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30960.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30960.p do not have complex multiplication.Modular form 30960.2.a.p
sage: E.q_eigenform(10)