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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 97020.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97020.h1 | 97020e1 | \([0, 0, 0, -21168, 1177092]\) | \(4248502272/34375\) | \(8487309600000\) | \([]\) | \(224640\) | \(1.3078\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97020.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 97020.h do not have complex multiplication.Modular form 97020.2.a.h
sage: E.q_eigenform(10)