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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 7350.ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7350.ch1 | 7350da1 | \([1, 0, 0, 97, 1497]\) | \(16468459/165888\) | \(-1016064000\) | \([]\) | \(4224\) | \(0.40938\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7350.ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7350.ch do not have complex multiplication.Modular form 7350.2.a.ch
sage: E.q_eigenform(10)