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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 3528s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3528.q1 | 3528s1 | \([0, 0, 0, 17493, 2012038]\) | \(68782/243\) | \(-2091452831225856\) | \([]\) | \(13440\) | \(1.6227\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3528s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3528s do not have complex multiplication.Modular form 3528.2.a.s
sage: E.q_eigenform(10)