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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 372810.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.l1 | 372810l1 | \([1, 1, 0, -20255582, 35125390836]\) | \(-455899074391369/681615360\) | \(-1374132408212349296640\) | \([]\) | \(55628352\) | \(2.9568\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 372810.l do not have complex multiplication.Modular form 372810.2.a.l
sage: E.q_eigenform(10)