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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 103056d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103056.e1 | 103056d1 | \([0, -1, 0, -304, 4000]\) | \(-1522096994/2325201\) | \(-4762011648\) | \([]\) | \(51840\) | \(0.54854\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103056d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 103056d do not have complex multiplication.Modular form 103056.2.a.d
sage: E.q_eigenform(10)