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SageMath
E = EllipticCurve("ht1")
E.isogeny_class()
Elliptic curves in class 176400.ht
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.ht1 | 176400ra1 | \([0, 0, 0, -2649675, 1931004250]\) | \(-15298178/3125\) | \(-420253992900000000000\) | \([]\) | \(5806080\) | \(2.6796\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.ht1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400.ht do not have complex multiplication.Modular form 176400.2.a.ht
sage: E.q_eigenform(10)