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SageMath
E = EllipticCurve("pf1")
E.isogeny_class()
Elliptic curves in class 331200.pf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331200.pf1 | 331200pf1 | \([0, 0, 0, -181200, 29756000]\) | \(-3525581824/9315\) | \(-1738402560000000\) | \([]\) | \(2359296\) | \(1.7993\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200.pf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331200.pf do not have complex multiplication.Modular form 331200.2.a.pf
sage: E.q_eigenform(10)