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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 25992.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25992.p1 | 25992h1 | \([0, 0, 0, -27075, -2455522]\) | \(-31250/19\) | \(-1334543355353088\) | \([]\) | \(86400\) | \(1.6043\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25992.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25992.p do not have complex multiplication.Modular form 25992.2.a.p
sage: E.q_eigenform(10)