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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 3654.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3654.l1 | 3654i1 | \([1, -1, 0, -918, -10508]\) | \(-117433042273/363776\) | \(-265192704\) | \([]\) | \(1920\) | \(0.48435\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3654.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3654.l do not have complex multiplication.Modular form 3654.2.a.l
sage: E.q_eigenform(10)