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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 4018.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4018.l1 | 4018p1 | \([1, 0, 0, 13, 97]\) | \(4934783/83968\) | \(-4114432\) | \([]\) | \(792\) | \(-0.050318\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4018.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4018.l do not have complex multiplication.Modular form 4018.2.a.l
sage: E.q_eigenform(10)