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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 43350.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43350.h1 | 43350o1 | \([1, 1, 0, 324975, 3811663125]\) | \(34822511/57600000\) | \(-6278181696900000000000\) | \([]\) | \(3231360\) | \(2.8616\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43350.h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 43350.h do not have complex multiplication.Modular form 43350.2.a.h
sage: E.q_eigenform(10)