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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 9800.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.l1 | 9800l1 | \([0, 1, 0, -10208, -678287]\) | \(-6400/7\) | \(-128678593750000\) | \([]\) | \(34560\) | \(1.4021\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9800.l do not have complex multiplication.Modular form 9800.2.a.l
sage: E.q_eigenform(10)