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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 257400l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257400.l1 | 257400l1 | \([0, 0, 0, -106500, -13367500]\) | \(1832504320/1573\) | \(114671700000000\) | \([]\) | \(1209600\) | \(1.6244\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257400l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 257400l do not have complex multiplication.Modular form 257400.2.a.l
sage: E.q_eigenform(10)