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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 324870da
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
324870.da1 | 324870da1 | \([1, 0, 1, -1453758, 674542768]\) | \(-2888094474031216969/10826524800\) | \(-1273729816195200\) | \([]\) | \(6773760\) | \(2.1136\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 324870da1 has rank \(1\).
Complex multiplication
The elliptic curves in class 324870da do not have complex multiplication.Modular form 324870.2.a.da
sage: E.q_eigenform(10)