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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 317400da
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
317400.da1 | 317400da1 | \([0, 1, 0, -123433, -20004037]\) | \(-8780800/2187\) | \(-51800718278880000\) | \([]\) | \(4228224\) | \(1.9251\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317400da1 has rank \(0\).
Complex multiplication
The elliptic curves in class 317400da do not have complex multiplication.Modular form 317400.2.a.da
sage: E.q_eigenform(10)