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SageMath
E = EllipticCurve("rp1")
E.isogeny_class()
Elliptic curves in class 176400.rp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.rp1 | 176400qj1 | \([0, 0, 0, -4501875, 1995831250]\) | \(2450\) | \(4118489130420000000000\) | \([]\) | \(8225280\) | \(2.8451\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.rp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400.rp do not have complex multiplication.Modular form 176400.2.a.rp
sage: E.q_eigenform(10)