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SageMath
E = EllipticCurve("lo1")
E.isogeny_class()
Elliptic curves in class 176400lo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.dw1 | 176400lo1 | \([0, 0, 0, 2625, 30625]\) | \(1280\) | \(-1562793750000\) | \([]\) | \(184320\) | \(1.0278\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400lo1 has rank \(2\).
Complex multiplication
The elliptic curves in class 176400lo do not have complex multiplication.Modular form 176400.2.a.lo
sage: E.q_eigenform(10)