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SageMath
E = EllipticCurve("fr1")
E.isogeny_class()
Elliptic curves in class 176400fr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.my1 | 176400fr1 | \([0, 0, 0, -25200, 2646000]\) | \(-110592/125\) | \(-2000376000000000\) | \([]\) | \(645120\) | \(1.6304\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400fr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400fr do not have complex multiplication.Modular form 176400.2.a.fr
sage: E.q_eigenform(10)