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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 20181l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20181.h1 | 20181l1 | \([1, 0, 0, -20, 213]\) | \(-961/21\) | \(-19393941\) | \([]\) | \(3480\) | \(0.079188\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20181l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20181l do not have complex multiplication.Modular form 20181.2.a.l
sage: E.q_eigenform(10)