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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 3744.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3744.e1 | 3744g1 | \([0, 0, 0, -3, -106]\) | \(-8/13\) | \(-4852224\) | \([]\) | \(480\) | \(-0.038107\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3744.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3744.e do not have complex multiplication.Modular form 3744.2.a.e
sage: E.q_eigenform(10)