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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 43245h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43245.a1 | 43245h1 | \([0, 0, 1, -1698087, -782914928]\) | \(870928384/78125\) | \(48574809866756953125\) | \([]\) | \(1562400\) | \(2.5172\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43245h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43245h do not have complex multiplication.Modular form 43245.2.a.h
sage: E.q_eigenform(10)