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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 75810.di
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75810.di1 | 75810dp1 | \([1, 0, 0, 428680, 83433312]\) | \(185183253170999/171032148000\) | \(-8046358081982388000\) | \([]\) | \(2073600\) | \(2.3149\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810.di1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75810.di do not have complex multiplication.Modular form 75810.2.a.di
sage: E.q_eigenform(10)