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SageMath
E = EllipticCurve("ds1")
E.isogeny_class()
Elliptic curves in class 176400ds
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.bf1 | 176400ds1 | \([0, 0, 0, 352800, -245416500]\) | \(14155776/84035\) | \(-28829423912940000000\) | \([]\) | \(3870720\) | \(2.4159\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400ds1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400ds do not have complex multiplication.Modular form 176400.2.a.ds
sage: E.q_eigenform(10)