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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 132834.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
132834.d1 | 132834bc1 | \([1, 1, 0, -145512, 21087552]\) | \(70593496254289/824180736\) | \(3978162994151424\) | \([]\) | \(1161216\) | \(1.8056\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 132834.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 132834.d do not have complex multiplication.Modular form 132834.2.a.d
sage: E.q_eigenform(10)