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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 32340h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32340.o1 | 32340h1 | \([0, -1, 0, 670, -14475]\) | \(864545024/2784375\) | \(-106964550000\) | \([]\) | \(28800\) | \(0.79949\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32340h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32340h do not have complex multiplication.Modular form 32340.2.a.h
sage: E.q_eigenform(10)