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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 3381.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3381.l1 | 3381c1 | \([0, -1, 1, -4720, 147237]\) | \(-98867482624/20696067\) | \(-2434871586483\) | \([]\) | \(14400\) | \(1.0985\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3381.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3381.l do not have complex multiplication.Modular form 3381.2.a.l
sage: E.q_eigenform(10)