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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 43758d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43758.a1 | 43758d1 | \([1, -1, 0, 156, -416]\) | \(15494117157/11240944\) | \(-303505488\) | \([]\) | \(25344\) | \(0.31592\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43758d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43758d do not have complex multiplication.Modular form 43758.2.a.d
sage: E.q_eigenform(10)