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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 38025.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38025.l1 | 38025bv1 | \([0, 0, 1, -6825, -223844]\) | \(-18264064/675\) | \(-1299385546875\) | \([]\) | \(110592\) | \(1.0953\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38025.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38025.l do not have complex multiplication.Modular form 38025.2.a.l
sage: E.q_eigenform(10)