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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 70805d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.bb1 | 70805d1 | \([0, 0, 1, -962948, 365258213]\) | \(-7077888/35\) | \(-488311077869844355\) | \([]\) | \(783360\) | \(2.2420\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70805d do not have complex multiplication.Modular form 70805.2.a.d
sage: E.q_eigenform(10)